52.236 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.188 * * * [progress]: [2/2] Setting up program. 0.190 * [progress]: [Phase 2 of 3] Improving. 0.191 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.191 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: Extracting # 4 : cost 0 0.193 * * [simplify]: Extracting # 5 : cost 0 0.193 * * [simplify]: Extracting # 6 : cost 0 0.193 * * [simplify]: Extracting # 7 : cost 0 0.193 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.196 * * [simplify]: Extracting # 0 : cost 0 0.196 * * [simplify]: Extracting # 1 : cost 0 0.196 * * [simplify]: Extracting # 2 : cost 0 0.196 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: Extracting # 4 : cost 0 0.196 * * [simplify]: Extracting # 5 : cost 0 0.196 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.202 * * [simplify]: Extracting # 0 : cost 0 0.202 * * [simplify]: Extracting # 1 : cost 0 0.202 * * [simplify]: Extracting # 2 : cost 0 0.202 * * [simplify]: Extracting # 3 : cost 0 0.203 * * [simplify]: Extracting # 4 : cost 0 0.203 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.214 * * [simplify]: Extracting # 0 : cost 0 0.215 * * [simplify]: Extracting # 1 : cost 0 0.215 * * [simplify]: Extracting # 2 : cost 0 0.215 * * [simplify]: Extracting # 3 : cost 0 0.215 * * [simplify]: Extracting # 4 : cost 0 0.216 * * [simplify]: iteration 3 : 120 enodes (cost 16 ) 0.274 * * [simplify]: Extracting # 0 : cost 0 0.275 * * [simplify]: Extracting # 1 : cost 0 0.275 * * [simplify]: Extracting # 2 : cost 0 0.276 * * [simplify]: Extracting # 3 : cost 0 0.277 * * [simplify]: Extracting # 4 : cost 0 0.277 * * [simplify]: iteration 4 : 330 enodes (cost 16 ) 0.603 * * [simplify]: Extracting # 0 : cost 0 0.606 * * [simplify]: Extracting # 1 : cost 0 0.609 * * [simplify]: Extracting # 2 : cost 0 0.617 * * [simplify]: Extracting # 3 : cost 0 0.620 * * [simplify]: Extracting # 4 : cost 0 0.624 * * [simplify]: Extracting # 5 : cost 0 0.627 * * [simplify]: iteration 5 : 1555 enodes (cost 16 ) 1.461 * * [simplify]: Extracting # 0 : cost 0 1.497 * * [simplify]: Extracting # 1 : cost 0 1.511 * * [simplify]: Extracting # 2 : cost 0 1.523 * * [simplify]: Extracting # 3 : cost 0 1.536 * * [simplify]: Extracting # 4 : cost 0 1.549 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 1.549 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.550 * * [progress]: iteration 1 / 4 1.550 * * * [progress]: picking best candidate 1.555 * * * * [pick]: Picked # 1.555 * * * [progress]: localizing error 1.587 * * * [progress]: generating rewritten candidates 1.587 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.606 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.744 * * * [progress]: generating series expansions 1.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.744 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.744 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.744 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [backup-simplify]: Simplify 1.0 into 1.0 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (sqrt 0) into 0 1.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.747 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.747 * [taylor]: Taking taylor expansion of 1.0 in k 1.747 * [backup-simplify]: Simplify 1.0 into 1.0 1.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.747 * [taylor]: Taking taylor expansion of k in k 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (sqrt 0) into 0 1.749 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.750 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.752 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.758 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.766 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.766 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.768 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.768 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.768 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.768 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.768 * [taylor]: Taking taylor expansion of 1.0 in k 1.768 * [backup-simplify]: Simplify 1.0 into 1.0 1.768 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.768 * [taylor]: Taking taylor expansion of k in k 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (sqrt 0) into 0 1.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.770 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.770 * [taylor]: Taking taylor expansion of 1.0 in k 1.770 * [backup-simplify]: Simplify 1.0 into 1.0 1.770 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.770 * [taylor]: Taking taylor expansion of k in k 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (sqrt 0) into 0 1.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.772 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.774 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.779 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.780 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.787 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.787 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.789 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1.789 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.789 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.789 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [backup-simplify]: Simplify 1.0 into 1.0 1.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.789 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.789 * [taylor]: Taking taylor expansion of -1 in k 1.789 * [backup-simplify]: Simplify -1 into -1 1.789 * [taylor]: Taking taylor expansion of k in k 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ -1 1) into -1 1.790 * [backup-simplify]: Simplify (sqrt 0) into 0 1.791 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.792 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.792 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.792 * [taylor]: Taking taylor expansion of 1.0 in k 1.792 * [backup-simplify]: Simplify 1.0 into 1.0 1.792 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.792 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.792 * [taylor]: Taking taylor expansion of -1 in k 1.792 * [backup-simplify]: Simplify -1 into -1 1.792 * [taylor]: Taking taylor expansion of k in k 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ -1 1) into -1 1.793 * [backup-simplify]: Simplify (sqrt 0) into 0 1.794 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.795 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.802 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.812 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.812 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.813 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.813 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.814 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.814 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.814 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.814 * [taylor]: Taking taylor expansion of 0.5 in k 1.814 * [backup-simplify]: Simplify 0.5 into 0.5 1.814 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.814 * [backup-simplify]: Simplify 1.0 into 1.0 1.814 * [taylor]: Taking taylor expansion of k in k 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.814 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.814 * [taylor]: Taking taylor expansion of 2.0 in k 1.814 * [backup-simplify]: Simplify 2.0 into 2.0 1.815 * [taylor]: Taking taylor expansion of (* n PI) in k 1.815 * [taylor]: Taking taylor expansion of n in k 1.815 * [backup-simplify]: Simplify n into n 1.815 * [taylor]: Taking taylor expansion of PI in k 1.815 * [backup-simplify]: Simplify PI into PI 1.815 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.815 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.815 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.816 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.816 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.816 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.817 * [taylor]: Taking taylor expansion of 0.5 in n 1.817 * [backup-simplify]: Simplify 0.5 into 0.5 1.817 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [backup-simplify]: Simplify 1.0 into 1.0 1.817 * [taylor]: Taking taylor expansion of k in n 1.817 * [backup-simplify]: Simplify k into k 1.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.817 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.817 * [taylor]: Taking taylor expansion of 2.0 in n 1.817 * [backup-simplify]: Simplify 2.0 into 2.0 1.817 * [taylor]: Taking taylor expansion of (* n PI) in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of PI in n 1.817 * [backup-simplify]: Simplify PI into PI 1.817 * [backup-simplify]: Simplify (* 0 PI) into 0 1.824 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.825 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.827 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.828 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.828 * [backup-simplify]: Simplify (- k) into (- k) 1.828 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.828 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.831 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.832 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.832 * [taylor]: Taking taylor expansion of 0.5 in n 1.832 * [backup-simplify]: Simplify 0.5 into 0.5 1.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.832 * [taylor]: Taking taylor expansion of 1.0 in n 1.832 * [backup-simplify]: Simplify 1.0 into 1.0 1.832 * [taylor]: Taking taylor expansion of k in n 1.832 * [backup-simplify]: Simplify k into k 1.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.833 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.833 * [taylor]: Taking taylor expansion of 2.0 in n 1.833 * [backup-simplify]: Simplify 2.0 into 2.0 1.833 * [taylor]: Taking taylor expansion of (* n PI) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [taylor]: Taking taylor expansion of PI in n 1.833 * [backup-simplify]: Simplify PI into PI 1.833 * [backup-simplify]: Simplify (* 0 PI) into 0 1.834 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.837 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.838 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.838 * [backup-simplify]: Simplify (- k) into (- k) 1.838 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.838 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.841 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.842 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.842 * [taylor]: Taking taylor expansion of 0.5 in k 1.842 * [backup-simplify]: Simplify 0.5 into 0.5 1.843 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.843 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.843 * [taylor]: Taking taylor expansion of 1.0 in k 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [taylor]: Taking taylor expansion of k in k 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.843 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.843 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.843 * [taylor]: Taking taylor expansion of 2.0 in k 1.843 * [backup-simplify]: Simplify 2.0 into 2.0 1.843 * [taylor]: Taking taylor expansion of PI in k 1.843 * [backup-simplify]: Simplify PI into PI 1.843 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.844 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.844 * [taylor]: Taking taylor expansion of (log n) in k 1.844 * [taylor]: Taking taylor expansion of n in k 1.845 * [backup-simplify]: Simplify n into n 1.845 * [backup-simplify]: Simplify (log n) into (log n) 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.846 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.847 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.849 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.850 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.851 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.858 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.859 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.861 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in k 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- 1) into -1 1.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.868 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.870 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1.873 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.877 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.888 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.891 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in k 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.907 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.911 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.917 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.918 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.918 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.918 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.918 * [taylor]: Taking taylor expansion of 0.5 in k 1.918 * [backup-simplify]: Simplify 0.5 into 0.5 1.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.918 * [taylor]: Taking taylor expansion of 1.0 in k 1.918 * [backup-simplify]: Simplify 1.0 into 1.0 1.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.918 * [taylor]: Taking taylor expansion of k in k 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.919 * [taylor]: Taking taylor expansion of 2.0 in k 1.919 * [backup-simplify]: Simplify 2.0 into 2.0 1.919 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.919 * [taylor]: Taking taylor expansion of PI in k 1.919 * [backup-simplify]: Simplify PI into PI 1.919 * [taylor]: Taking taylor expansion of n in k 1.919 * [backup-simplify]: Simplify n into n 1.919 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.919 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.919 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.919 * [backup-simplify]: Simplify (- 1) into -1 1.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.920 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.920 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.920 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.920 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.920 * [taylor]: Taking taylor expansion of 0.5 in n 1.920 * [backup-simplify]: Simplify 0.5 into 0.5 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.920 * [taylor]: Taking taylor expansion of 1.0 in n 1.920 * [backup-simplify]: Simplify 1.0 into 1.0 1.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.920 * [taylor]: Taking taylor expansion of k in n 1.920 * [backup-simplify]: Simplify k into k 1.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.920 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of 2.0 in n 1.920 * [backup-simplify]: Simplify 2.0 into 2.0 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [backup-simplify]: Simplify PI into PI 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ PI 1) into PI 1.921 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.922 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.922 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.922 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.922 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.923 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.924 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.924 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.924 * [taylor]: Taking taylor expansion of 0.5 in n 1.924 * [backup-simplify]: Simplify 0.5 into 0.5 1.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.924 * [taylor]: Taking taylor expansion of 1.0 in n 1.924 * [backup-simplify]: Simplify 1.0 into 1.0 1.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.924 * [taylor]: Taking taylor expansion of k in n 1.924 * [backup-simplify]: Simplify k into k 1.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.925 * [taylor]: Taking taylor expansion of 2.0 in n 1.925 * [backup-simplify]: Simplify 2.0 into 2.0 1.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.925 * [taylor]: Taking taylor expansion of PI in n 1.925 * [backup-simplify]: Simplify PI into PI 1.925 * [taylor]: Taking taylor expansion of n in n 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (/ PI 1) into PI 1.925 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.926 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.926 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.926 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.926 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.928 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.928 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.929 * [taylor]: Taking taylor expansion of 0.5 in k 1.929 * [backup-simplify]: Simplify 0.5 into 0.5 1.929 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.929 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.929 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.929 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.929 * [taylor]: Taking taylor expansion of 2.0 in k 1.929 * [backup-simplify]: Simplify 2.0 into 2.0 1.929 * [taylor]: Taking taylor expansion of PI in k 1.929 * [backup-simplify]: Simplify PI into PI 1.929 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.930 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.930 * [taylor]: Taking taylor expansion of (log n) in k 1.930 * [taylor]: Taking taylor expansion of n in k 1.930 * [backup-simplify]: Simplify n into n 1.930 * [backup-simplify]: Simplify (log n) into (log n) 1.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.930 * [taylor]: Taking taylor expansion of 1.0 in k 1.930 * [backup-simplify]: Simplify 1.0 into 1.0 1.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.930 * [taylor]: Taking taylor expansion of k in k 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.931 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.931 * [backup-simplify]: Simplify (- 1) into -1 1.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.932 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.933 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.933 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.934 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.943 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.945 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.945 * [taylor]: Taking taylor expansion of 0 in k 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.956 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.966 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.966 * [taylor]: Taking taylor expansion of 0 in k 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.971 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.974 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.975 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.977 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in k 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.978 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.978 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.978 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.978 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.979 * [taylor]: Taking taylor expansion of 0.5 in k 1.979 * [backup-simplify]: Simplify 0.5 into 0.5 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.979 * [taylor]: Taking taylor expansion of k in k 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [taylor]: Taking taylor expansion of 1.0 in k 1.979 * [backup-simplify]: Simplify 1.0 into 1.0 1.979 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.979 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.979 * [taylor]: Taking taylor expansion of -2.0 in k 1.979 * [backup-simplify]: Simplify -2.0 into -2.0 1.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.979 * [taylor]: Taking taylor expansion of PI in k 1.979 * [backup-simplify]: Simplify PI into PI 1.979 * [taylor]: Taking taylor expansion of n in k 1.979 * [backup-simplify]: Simplify n into n 1.979 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.979 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.979 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.980 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.980 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.980 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.980 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.980 * [taylor]: Taking taylor expansion of 0.5 in n 1.980 * [backup-simplify]: Simplify 0.5 into 0.5 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.980 * [taylor]: Taking taylor expansion of k in n 1.980 * [backup-simplify]: Simplify k into k 1.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.980 * [taylor]: Taking taylor expansion of 1.0 in n 1.980 * [backup-simplify]: Simplify 1.0 into 1.0 1.980 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.980 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.980 * [taylor]: Taking taylor expansion of -2.0 in n 1.980 * [backup-simplify]: Simplify -2.0 into -2.0 1.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.980 * [taylor]: Taking taylor expansion of PI in n 1.980 * [backup-simplify]: Simplify PI into PI 1.980 * [taylor]: Taking taylor expansion of n in n 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ PI 1) into PI 1.981 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.982 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.982 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.982 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.983 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.984 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.984 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.984 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.984 * [taylor]: Taking taylor expansion of 0.5 in n 1.984 * [backup-simplify]: Simplify 0.5 into 0.5 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.984 * [taylor]: Taking taylor expansion of k in n 1.984 * [backup-simplify]: Simplify k into k 1.984 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.985 * [taylor]: Taking taylor expansion of 1.0 in n 1.985 * [backup-simplify]: Simplify 1.0 into 1.0 1.985 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.985 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.985 * [taylor]: Taking taylor expansion of -2.0 in n 1.985 * [backup-simplify]: Simplify -2.0 into -2.0 1.985 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.985 * [taylor]: Taking taylor expansion of PI in n 1.985 * [backup-simplify]: Simplify PI into PI 1.985 * [taylor]: Taking taylor expansion of n in n 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ PI 1) into PI 1.985 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.986 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.986 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.986 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.988 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.988 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.989 * [taylor]: Taking taylor expansion of 0.5 in k 1.989 * [backup-simplify]: Simplify 0.5 into 0.5 1.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.989 * [taylor]: Taking taylor expansion of k in k 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [taylor]: Taking taylor expansion of 1.0 in k 1.989 * [backup-simplify]: Simplify 1.0 into 1.0 1.989 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.989 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.989 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.989 * [taylor]: Taking taylor expansion of -2.0 in k 1.989 * [backup-simplify]: Simplify -2.0 into -2.0 1.989 * [taylor]: Taking taylor expansion of PI in k 1.989 * [backup-simplify]: Simplify PI into PI 1.989 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.990 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.990 * [taylor]: Taking taylor expansion of (log n) in k 1.990 * [taylor]: Taking taylor expansion of n in k 1.990 * [backup-simplify]: Simplify n into n 1.990 * [backup-simplify]: Simplify (log n) into (log n) 1.990 * [backup-simplify]: Simplify (+ 1 0) into 1 1.990 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.991 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.992 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.993 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.993 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.994 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.999 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.000 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in k 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.006 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.008 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.008 * [taylor]: Taking taylor expansion of 0 in k 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.014 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.020 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.022 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.022 * [taylor]: Taking taylor expansion of 0 in k 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.024 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.024 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.025 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.025 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.025 * [taylor]: Taking taylor expansion of 2.0 in n 2.025 * [backup-simplify]: Simplify 2.0 into 2.0 2.025 * [taylor]: Taking taylor expansion of (* n PI) in n 2.025 * [taylor]: Taking taylor expansion of n in n 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of PI in n 2.025 * [backup-simplify]: Simplify PI into PI 2.025 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.025 * [taylor]: Taking taylor expansion of 2.0 in n 2.025 * [backup-simplify]: Simplify 2.0 into 2.0 2.025 * [taylor]: Taking taylor expansion of (* n PI) in n 2.025 * [taylor]: Taking taylor expansion of n in n 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of PI in n 2.025 * [backup-simplify]: Simplify PI into PI 2.025 * [backup-simplify]: Simplify (* 0 PI) into 0 2.026 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.029 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.030 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.051 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.051 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.051 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.051 * [taylor]: Taking taylor expansion of 2.0 in n 2.051 * [backup-simplify]: Simplify 2.0 into 2.0 2.051 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.051 * [taylor]: Taking taylor expansion of PI in n 2.051 * [backup-simplify]: Simplify PI into PI 2.051 * [taylor]: Taking taylor expansion of n in n 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ PI 1) into PI 2.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.052 * [taylor]: Taking taylor expansion of 2.0 in n 2.052 * [backup-simplify]: Simplify 2.0 into 2.0 2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.052 * [taylor]: Taking taylor expansion of PI in n 2.052 * [backup-simplify]: Simplify PI into PI 2.052 * [taylor]: Taking taylor expansion of n in n 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ PI 1) into PI 2.053 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.054 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.069 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.069 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.069 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.069 * [taylor]: Taking taylor expansion of -2.0 in n 2.069 * [backup-simplify]: Simplify -2.0 into -2.0 2.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.069 * [taylor]: Taking taylor expansion of PI in n 2.069 * [backup-simplify]: Simplify PI into PI 2.069 * [taylor]: Taking taylor expansion of n in n 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (/ PI 1) into PI 2.069 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.069 * [taylor]: Taking taylor expansion of -2.0 in n 2.069 * [backup-simplify]: Simplify -2.0 into -2.0 2.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.070 * [taylor]: Taking taylor expansion of PI in n 2.070 * [backup-simplify]: Simplify PI into PI 2.070 * [taylor]: Taking taylor expansion of n in n 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ PI 1) into PI 2.071 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.071 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.086 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.086 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 2.086 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.086 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [backup-simplify]: Simplify 1.0 into 1.0 2.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.087 * [taylor]: Taking taylor expansion of k in n 2.087 * [backup-simplify]: Simplify k into k 2.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.087 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.087 * [taylor]: Taking taylor expansion of 0.5 in n 2.087 * [backup-simplify]: Simplify 0.5 into 0.5 2.087 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [backup-simplify]: Simplify 1.0 into 1.0 2.087 * [taylor]: Taking taylor expansion of k in n 2.087 * [backup-simplify]: Simplify k into k 2.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.087 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.087 * [taylor]: Taking taylor expansion of 2.0 in n 2.087 * [backup-simplify]: Simplify 2.0 into 2.0 2.088 * [taylor]: Taking taylor expansion of (* n PI) in n 2.088 * [taylor]: Taking taylor expansion of n in n 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of PI in n 2.088 * [backup-simplify]: Simplify PI into PI 2.088 * [backup-simplify]: Simplify (* 0 PI) into 0 2.088 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.099 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.100 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.100 * [backup-simplify]: Simplify (- k) into (- k) 2.100 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.100 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.101 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.102 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.102 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.102 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.102 * [taylor]: Taking taylor expansion of 1.0 in k 2.102 * [backup-simplify]: Simplify 1.0 into 1.0 2.102 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.103 * [taylor]: Taking taylor expansion of k in k 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [backup-simplify]: Simplify (sqrt 0) into 0 2.104 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.104 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.104 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.104 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.104 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.104 * [taylor]: Taking taylor expansion of 0.5 in k 2.104 * [backup-simplify]: Simplify 0.5 into 0.5 2.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.104 * [taylor]: Taking taylor expansion of 1.0 in k 2.104 * [backup-simplify]: Simplify 1.0 into 1.0 2.104 * [taylor]: Taking taylor expansion of k in k 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.104 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.104 * [taylor]: Taking taylor expansion of 2.0 in k 2.104 * [backup-simplify]: Simplify 2.0 into 2.0 2.104 * [taylor]: Taking taylor expansion of (* n PI) in k 2.104 * [taylor]: Taking taylor expansion of n in k 2.104 * [backup-simplify]: Simplify n into n 2.104 * [taylor]: Taking taylor expansion of PI in k 2.104 * [backup-simplify]: Simplify PI into PI 2.104 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.104 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.104 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.105 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.105 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.105 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.105 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.105 * [taylor]: Taking taylor expansion of 1.0 in k 2.105 * [backup-simplify]: Simplify 1.0 into 1.0 2.105 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.106 * [taylor]: Taking taylor expansion of k in k 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [backup-simplify]: Simplify (sqrt 0) into 0 2.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.107 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.107 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.107 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.107 * [taylor]: Taking taylor expansion of 0.5 in k 2.107 * [backup-simplify]: Simplify 0.5 into 0.5 2.107 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.107 * [taylor]: Taking taylor expansion of 1.0 in k 2.107 * [backup-simplify]: Simplify 1.0 into 1.0 2.107 * [taylor]: Taking taylor expansion of k in k 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.107 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.107 * [taylor]: Taking taylor expansion of 2.0 in k 2.107 * [backup-simplify]: Simplify 2.0 into 2.0 2.107 * [taylor]: Taking taylor expansion of (* n PI) in k 2.107 * [taylor]: Taking taylor expansion of n in k 2.107 * [backup-simplify]: Simplify n into n 2.107 * [taylor]: Taking taylor expansion of PI in k 2.107 * [backup-simplify]: Simplify PI into PI 2.107 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.107 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.107 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.108 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.108 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.108 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.108 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.109 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.109 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.109 * [taylor]: Taking taylor expansion of 0 in n 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.110 * [backup-simplify]: Simplify (- 1) into -1 2.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.111 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.112 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.113 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.114 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.115 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.115 * [taylor]: Taking taylor expansion of +nan.0 in n 2.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.115 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.115 * [taylor]: Taking taylor expansion of 0.5 in n 2.115 * [backup-simplify]: Simplify 0.5 into 0.5 2.115 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.115 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.115 * [taylor]: Taking taylor expansion of 1.0 in n 2.115 * [backup-simplify]: Simplify 1.0 into 1.0 2.115 * [taylor]: Taking taylor expansion of (log PI) in n 2.115 * [taylor]: Taking taylor expansion of PI in n 2.115 * [backup-simplify]: Simplify PI into PI 2.115 * [backup-simplify]: Simplify (log PI) into (log PI) 2.116 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.117 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.117 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.117 * [taylor]: Taking taylor expansion of 1.0 in n 2.117 * [backup-simplify]: Simplify 1.0 into 1.0 2.117 * [taylor]: Taking taylor expansion of (log n) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (log 1) into 0 2.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.117 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.118 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.118 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.118 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.118 * [taylor]: Taking taylor expansion of 1.0 in n 2.118 * [backup-simplify]: Simplify 1.0 into 1.0 2.118 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.118 * [taylor]: Taking taylor expansion of 2.0 in n 2.118 * [backup-simplify]: Simplify 2.0 into 2.0 2.118 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.118 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.119 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.120 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.121 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.121 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.122 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.123 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.124 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.125 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.126 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.131 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.138 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.143 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.143 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.143 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.143 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.143 * [taylor]: Taking taylor expansion of +nan.0 in n 2.143 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.143 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.143 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.143 * [taylor]: Taking taylor expansion of 0.5 in n 2.143 * [backup-simplify]: Simplify 0.5 into 0.5 2.143 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.143 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.143 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.143 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.143 * [taylor]: Taking taylor expansion of 1.0 in n 2.143 * [backup-simplify]: Simplify 1.0 into 1.0 2.143 * [taylor]: Taking taylor expansion of (log PI) in n 2.143 * [taylor]: Taking taylor expansion of PI in n 2.143 * [backup-simplify]: Simplify PI into PI 2.143 * [backup-simplify]: Simplify (log PI) into (log PI) 2.144 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.145 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.145 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.145 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.145 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.145 * [taylor]: Taking taylor expansion of 1.0 in n 2.145 * [backup-simplify]: Simplify 1.0 into 1.0 2.145 * [taylor]: Taking taylor expansion of (log n) in n 2.145 * [taylor]: Taking taylor expansion of n in n 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (log 1) into 0 2.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.146 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.146 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.146 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.146 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [backup-simplify]: Simplify 1.0 into 1.0 2.146 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.146 * [taylor]: Taking taylor expansion of 2.0 in n 2.146 * [backup-simplify]: Simplify 2.0 into 2.0 2.146 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.147 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.148 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.148 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.149 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.150 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.150 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.151 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.151 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.151 * [taylor]: Taking taylor expansion of +nan.0 in n 2.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.151 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.152 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.152 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.152 * [taylor]: Taking taylor expansion of 0.5 in n 2.152 * [backup-simplify]: Simplify 0.5 into 0.5 2.152 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.152 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.152 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.152 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.152 * [taylor]: Taking taylor expansion of 1.0 in n 2.152 * [backup-simplify]: Simplify 1.0 into 1.0 2.152 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.152 * [taylor]: Taking taylor expansion of 2.0 in n 2.152 * [backup-simplify]: Simplify 2.0 into 2.0 2.152 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.153 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.154 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.154 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.154 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.154 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.154 * [taylor]: Taking taylor expansion of 1.0 in n 2.154 * [backup-simplify]: Simplify 1.0 into 1.0 2.154 * [taylor]: Taking taylor expansion of (log PI) in n 2.154 * [taylor]: Taking taylor expansion of PI in n 2.154 * [backup-simplify]: Simplify PI into PI 2.154 * [backup-simplify]: Simplify (log PI) into (log PI) 2.155 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.156 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.156 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.156 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.156 * [taylor]: Taking taylor expansion of 1.0 in n 2.156 * [backup-simplify]: Simplify 1.0 into 1.0 2.156 * [taylor]: Taking taylor expansion of (log n) in n 2.156 * [taylor]: Taking taylor expansion of n in n 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (log 1) into 0 2.156 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.156 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.156 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.157 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.158 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.158 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.159 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.160 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.160 * [taylor]: Taking taylor expansion of 2.0 in n 2.160 * [backup-simplify]: Simplify 2.0 into 2.0 2.160 * [taylor]: Taking taylor expansion of (* n PI) in n 2.160 * [taylor]: Taking taylor expansion of n in n 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of PI in n 2.160 * [backup-simplify]: Simplify PI into PI 2.160 * [backup-simplify]: Simplify (* 0 PI) into 0 2.161 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.163 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.163 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.164 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.165 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.167 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.168 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.169 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 2.173 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.176 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.180 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.182 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.183 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.184 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.184 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.187 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.191 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.201 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.206 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.217 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.228 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.228 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.228 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.228 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.228 * [taylor]: Taking taylor expansion of +nan.0 in n 2.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.228 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.228 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.228 * [taylor]: Taking taylor expansion of 0.5 in n 2.228 * [backup-simplify]: Simplify 0.5 into 0.5 2.228 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.228 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.228 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.228 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.228 * [taylor]: Taking taylor expansion of 1.0 in n 2.229 * [backup-simplify]: Simplify 1.0 into 1.0 2.229 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.229 * [taylor]: Taking taylor expansion of 2.0 in n 2.229 * [backup-simplify]: Simplify 2.0 into 2.0 2.229 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.230 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.231 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.231 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.231 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.231 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.231 * [taylor]: Taking taylor expansion of 1.0 in n 2.231 * [backup-simplify]: Simplify 1.0 into 1.0 2.232 * [taylor]: Taking taylor expansion of (log n) in n 2.232 * [taylor]: Taking taylor expansion of n in n 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (log 1) into 0 2.232 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.232 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.232 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.233 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.233 * [taylor]: Taking taylor expansion of 1.0 in n 2.233 * [backup-simplify]: Simplify 1.0 into 1.0 2.233 * [taylor]: Taking taylor expansion of (log PI) in n 2.233 * [taylor]: Taking taylor expansion of PI in n 2.233 * [backup-simplify]: Simplify PI into PI 2.233 * [backup-simplify]: Simplify (log PI) into (log PI) 2.234 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.235 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.236 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.238 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.239 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.240 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.241 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.242 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.242 * [taylor]: Taking taylor expansion of +nan.0 in n 2.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.242 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.242 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.242 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.242 * [taylor]: Taking taylor expansion of 0.5 in n 2.242 * [backup-simplify]: Simplify 0.5 into 0.5 2.242 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.242 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.242 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.242 * [taylor]: Taking taylor expansion of 1.0 in n 2.242 * [backup-simplify]: Simplify 1.0 into 1.0 2.242 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.242 * [taylor]: Taking taylor expansion of 2.0 in n 2.242 * [backup-simplify]: Simplify 2.0 into 2.0 2.242 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.243 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.245 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.245 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.245 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.245 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.245 * [taylor]: Taking taylor expansion of 1.0 in n 2.245 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [taylor]: Taking taylor expansion of (log PI) in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.245 * [backup-simplify]: Simplify PI into PI 2.245 * [backup-simplify]: Simplify (log PI) into (log PI) 2.246 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.248 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.248 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.248 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.248 * [taylor]: Taking taylor expansion of 1.0 in n 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.248 * [taylor]: Taking taylor expansion of (log n) in n 2.248 * [taylor]: Taking taylor expansion of n in n 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (log 1) into 0 2.249 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.249 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.249 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.249 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.251 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.252 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.253 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.254 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.255 * [taylor]: Taking taylor expansion of 2.0 in n 2.255 * [backup-simplify]: Simplify 2.0 into 2.0 2.255 * [taylor]: Taking taylor expansion of (* n PI) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [taylor]: Taking taylor expansion of PI in n 2.255 * [backup-simplify]: Simplify PI into PI 2.255 * [backup-simplify]: Simplify (* 0 PI) into 0 2.256 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.257 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.258 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.259 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.259 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.259 * [taylor]: Taking taylor expansion of +nan.0 in n 2.259 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.259 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.259 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.260 * [taylor]: Taking taylor expansion of 0.5 in n 2.260 * [backup-simplify]: Simplify 0.5 into 0.5 2.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.260 * [taylor]: Taking taylor expansion of 1.0 in n 2.260 * [backup-simplify]: Simplify 1.0 into 1.0 2.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.260 * [taylor]: Taking taylor expansion of 2.0 in n 2.260 * [backup-simplify]: Simplify 2.0 into 2.0 2.260 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.261 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.262 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.262 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.262 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.263 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.263 * [taylor]: Taking taylor expansion of 1.0 in n 2.263 * [backup-simplify]: Simplify 1.0 into 1.0 2.263 * [taylor]: Taking taylor expansion of (log PI) in n 2.263 * [taylor]: Taking taylor expansion of PI in n 2.263 * [backup-simplify]: Simplify PI into PI 2.263 * [backup-simplify]: Simplify (log PI) into (log PI) 2.264 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.266 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.266 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.266 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.266 * [taylor]: Taking taylor expansion of 1.0 in n 2.266 * [backup-simplify]: Simplify 1.0 into 1.0 2.266 * [taylor]: Taking taylor expansion of (log n) in n 2.266 * [taylor]: Taking taylor expansion of n in n 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (log 1) into 0 2.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.267 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.267 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.268 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.269 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.271 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.272 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.274 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.274 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.274 * [taylor]: Taking taylor expansion of 2.0 in n 2.274 * [backup-simplify]: Simplify 2.0 into 2.0 2.274 * [taylor]: Taking taylor expansion of (* n PI) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [taylor]: Taking taylor expansion of PI in n 2.274 * [backup-simplify]: Simplify PI into PI 2.275 * [backup-simplify]: Simplify (* 0 PI) into 0 2.275 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.278 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.279 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.280 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.282 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.285 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.287 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.288 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.290 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.291 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.293 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.295 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.301 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 2.310 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 2.330 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.347 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.356 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.372 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 2.372 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 2.372 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.372 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.373 * [taylor]: Taking taylor expansion of 1.0 in n 2.373 * [backup-simplify]: Simplify 1.0 into 1.0 2.373 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.373 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.373 * [taylor]: Taking taylor expansion of k in n 2.373 * [backup-simplify]: Simplify k into k 2.373 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.373 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.373 * [taylor]: Taking taylor expansion of 0.5 in n 2.373 * [backup-simplify]: Simplify 0.5 into 0.5 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.373 * [taylor]: Taking taylor expansion of 1.0 in n 2.373 * [backup-simplify]: Simplify 1.0 into 1.0 2.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.373 * [taylor]: Taking taylor expansion of k in n 2.373 * [backup-simplify]: Simplify k into k 2.373 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.373 * [taylor]: Taking taylor expansion of 2.0 in n 2.373 * [backup-simplify]: Simplify 2.0 into 2.0 2.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.373 * [taylor]: Taking taylor expansion of PI in n 2.373 * [backup-simplify]: Simplify PI into PI 2.373 * [taylor]: Taking taylor expansion of n in n 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ PI 1) into PI 2.374 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.374 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.375 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.375 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.376 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.377 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (sqrt 0) into 0 2.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.379 * [taylor]: Taking taylor expansion of 0.5 in k 2.379 * [backup-simplify]: Simplify 0.5 into 0.5 2.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [backup-simplify]: Simplify 1.0 into 1.0 2.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.379 * [taylor]: Taking taylor expansion of k in k 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (/ 1 1) into 1 2.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.379 * [taylor]: Taking taylor expansion of 2.0 in k 2.379 * [backup-simplify]: Simplify 2.0 into 2.0 2.379 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.379 * [taylor]: Taking taylor expansion of PI in k 2.379 * [backup-simplify]: Simplify PI into PI 2.379 * [taylor]: Taking taylor expansion of n in k 2.379 * [backup-simplify]: Simplify n into n 2.379 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.380 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.380 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.380 * [backup-simplify]: Simplify (- 1) into -1 2.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.381 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.381 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.381 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.381 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.381 * [taylor]: Taking taylor expansion of 1.0 in k 2.381 * [backup-simplify]: Simplify 1.0 into 1.0 2.381 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.382 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.382 * [taylor]: Taking taylor expansion of k in k 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (sqrt 0) into 0 2.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.383 * [taylor]: Taking taylor expansion of 0.5 in k 2.383 * [backup-simplify]: Simplify 0.5 into 0.5 2.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.383 * [taylor]: Taking taylor expansion of 1.0 in k 2.383 * [backup-simplify]: Simplify 1.0 into 1.0 2.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.384 * [taylor]: Taking taylor expansion of k in k 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.384 * [taylor]: Taking taylor expansion of 2.0 in k 2.384 * [backup-simplify]: Simplify 2.0 into 2.0 2.384 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.384 * [taylor]: Taking taylor expansion of PI in k 2.384 * [backup-simplify]: Simplify PI into PI 2.384 * [taylor]: Taking taylor expansion of n in k 2.384 * [backup-simplify]: Simplify n into n 2.384 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.384 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.385 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.385 * [backup-simplify]: Simplify (- 1) into -1 2.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.386 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.386 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.386 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.387 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.387 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.387 * [taylor]: Taking taylor expansion of 0 in n 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.388 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.389 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.389 * [taylor]: Taking taylor expansion of +nan.0 in n 2.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.389 * [taylor]: Taking taylor expansion of 0.5 in n 2.389 * [backup-simplify]: Simplify 0.5 into 0.5 2.389 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.389 * [taylor]: Taking taylor expansion of 2.0 in n 2.389 * [backup-simplify]: Simplify 2.0 into 2.0 2.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.389 * [taylor]: Taking taylor expansion of PI in n 2.389 * [backup-simplify]: Simplify PI into PI 2.389 * [taylor]: Taking taylor expansion of n in n 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (/ PI 1) into PI 2.390 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.391 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.391 * [taylor]: Taking taylor expansion of 1.0 in n 2.391 * [backup-simplify]: Simplify 1.0 into 1.0 2.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.391 * [taylor]: Taking taylor expansion of k in n 2.391 * [backup-simplify]: Simplify k into k 2.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.393 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.393 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.394 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.395 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.396 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.398 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.399 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.400 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.400 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.406 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.406 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.406 * [taylor]: Taking taylor expansion of +nan.0 in n 2.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.406 * [taylor]: Taking taylor expansion of 0.5 in n 2.406 * [backup-simplify]: Simplify 0.5 into 0.5 2.406 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.406 * [taylor]: Taking taylor expansion of 2.0 in n 2.406 * [backup-simplify]: Simplify 2.0 into 2.0 2.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.406 * [backup-simplify]: Simplify PI into PI 2.406 * [taylor]: Taking taylor expansion of n in n 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ PI 1) into PI 2.408 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.409 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.409 * [taylor]: Taking taylor expansion of 1.0 in n 2.409 * [backup-simplify]: Simplify 1.0 into 1.0 2.409 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.409 * [taylor]: Taking taylor expansion of k in n 2.409 * [backup-simplify]: Simplify k into k 2.409 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.411 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.411 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.412 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.413 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.415 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.416 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.418 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.419 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.426 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.430 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.439 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.439 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.439 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.439 * [taylor]: Taking taylor expansion of +nan.0 in n 2.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.439 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.439 * [taylor]: Taking taylor expansion of 0.5 in n 2.439 * [backup-simplify]: Simplify 0.5 into 0.5 2.439 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.439 * [taylor]: Taking taylor expansion of 2.0 in n 2.439 * [backup-simplify]: Simplify 2.0 into 2.0 2.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.439 * [taylor]: Taking taylor expansion of PI in n 2.439 * [backup-simplify]: Simplify PI into PI 2.439 * [taylor]: Taking taylor expansion of n in n 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (/ PI 1) into PI 2.440 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.440 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.440 * [taylor]: Taking taylor expansion of 1.0 in n 2.441 * [backup-simplify]: Simplify 1.0 into 1.0 2.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.441 * [taylor]: Taking taylor expansion of k in n 2.441 * [backup-simplify]: Simplify k into k 2.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.442 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.442 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.442 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.443 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.444 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.445 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.445 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.451 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.453 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 2.454 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.454 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.454 * [taylor]: Taking taylor expansion of 1.0 in n 2.454 * [backup-simplify]: Simplify 1.0 into 1.0 2.454 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.454 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.454 * [taylor]: Taking taylor expansion of 0.5 in n 2.454 * [backup-simplify]: Simplify 0.5 into 0.5 2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.454 * [taylor]: Taking taylor expansion of k in n 2.454 * [backup-simplify]: Simplify k into k 2.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.454 * [taylor]: Taking taylor expansion of 1.0 in n 2.454 * [backup-simplify]: Simplify 1.0 into 1.0 2.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.455 * [taylor]: Taking taylor expansion of -2.0 in n 2.455 * [backup-simplify]: Simplify -2.0 into -2.0 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [backup-simplify]: Simplify PI into PI 2.455 * [taylor]: Taking taylor expansion of n in n 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (/ PI 1) into PI 2.455 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.456 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.456 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.456 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.458 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.458 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.458 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.458 * [taylor]: Taking taylor expansion of -1 in n 2.459 * [backup-simplify]: Simplify -1 into -1 2.459 * [taylor]: Taking taylor expansion of k in n 2.459 * [backup-simplify]: Simplify k into k 2.459 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.459 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.459 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.460 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 2.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.460 * [taylor]: Taking taylor expansion of 1.0 in k 2.460 * [backup-simplify]: Simplify 1.0 into 1.0 2.460 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.460 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.460 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.460 * [taylor]: Taking taylor expansion of 0.5 in k 2.460 * [backup-simplify]: Simplify 0.5 into 0.5 2.460 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.460 * [taylor]: Taking taylor expansion of k in k 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.460 * [taylor]: Taking taylor expansion of 1.0 in k 2.460 * [backup-simplify]: Simplify 1.0 into 1.0 2.460 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.460 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.460 * [taylor]: Taking taylor expansion of -2.0 in k 2.460 * [backup-simplify]: Simplify -2.0 into -2.0 2.460 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.460 * [taylor]: Taking taylor expansion of PI in k 2.460 * [backup-simplify]: Simplify PI into PI 2.460 * [taylor]: Taking taylor expansion of n in k 2.460 * [backup-simplify]: Simplify n into n 2.460 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.460 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.460 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.461 * [backup-simplify]: Simplify (+ 1 0) into 1 2.461 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.461 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.461 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.461 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.461 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.461 * [taylor]: Taking taylor expansion of -1 in k 2.461 * [backup-simplify]: Simplify -1 into -1 2.461 * [taylor]: Taking taylor expansion of k in k 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ -1 1) into -1 2.462 * [backup-simplify]: Simplify (sqrt 0) into 0 2.463 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.463 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [backup-simplify]: Simplify 1.0 into 1.0 2.463 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.463 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.463 * [taylor]: Taking taylor expansion of 0.5 in k 2.463 * [backup-simplify]: Simplify 0.5 into 0.5 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [backup-simplify]: Simplify 1.0 into 1.0 2.463 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.463 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.463 * [taylor]: Taking taylor expansion of -2.0 in k 2.463 * [backup-simplify]: Simplify -2.0 into -2.0 2.464 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.464 * [taylor]: Taking taylor expansion of PI in k 2.464 * [backup-simplify]: Simplify PI into PI 2.464 * [taylor]: Taking taylor expansion of n in k 2.464 * [backup-simplify]: Simplify n into n 2.464 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.464 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.464 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.464 * [backup-simplify]: Simplify (+ 1 0) into 1 2.464 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.465 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.465 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.465 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.465 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.465 * [taylor]: Taking taylor expansion of -1 in k 2.465 * [backup-simplify]: Simplify -1 into -1 2.465 * [taylor]: Taking taylor expansion of k in k 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (/ -1 1) into -1 2.465 * [backup-simplify]: Simplify (sqrt 0) into 0 2.466 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.466 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.467 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.467 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.467 * [taylor]: Taking taylor expansion of +nan.0 in n 2.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [backup-simplify]: Simplify 0.5 into 0.5 2.467 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.467 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.467 * [taylor]: Taking taylor expansion of k in n 2.467 * [backup-simplify]: Simplify k into k 2.467 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.467 * [taylor]: Taking taylor expansion of 1.0 in n 2.467 * [backup-simplify]: Simplify 1.0 into 1.0 2.467 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.467 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.467 * [taylor]: Taking taylor expansion of -2.0 in n 2.467 * [backup-simplify]: Simplify -2.0 into -2.0 2.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.467 * [backup-simplify]: Simplify PI into PI 2.467 * [taylor]: Taking taylor expansion of n in n 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (/ PI 1) into PI 2.468 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.468 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.468 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.470 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.471 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.471 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.472 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.473 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.476 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.476 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.476 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.476 * [taylor]: Taking taylor expansion of +nan.0 in n 2.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.476 * [taylor]: Taking taylor expansion of 0.5 in n 2.477 * [backup-simplify]: Simplify 0.5 into 0.5 2.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.477 * [taylor]: Taking taylor expansion of k in n 2.477 * [backup-simplify]: Simplify k into k 2.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [backup-simplify]: Simplify 1.0 into 1.0 2.477 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.477 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.477 * [taylor]: Taking taylor expansion of -2.0 in n 2.477 * [backup-simplify]: Simplify -2.0 into -2.0 2.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.477 * [taylor]: Taking taylor expansion of PI in n 2.477 * [backup-simplify]: Simplify PI into PI 2.477 * [taylor]: Taking taylor expansion of n in n 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (/ PI 1) into PI 2.478 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.478 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.478 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.480 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.481 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.481 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.482 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.483 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.484 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.488 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.490 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.495 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.495 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.495 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.496 * [taylor]: Taking taylor expansion of +nan.0 in n 2.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.496 * [taylor]: Taking taylor expansion of 0.5 in n 2.496 * [backup-simplify]: Simplify 0.5 into 0.5 2.496 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.496 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.496 * [taylor]: Taking taylor expansion of k in n 2.496 * [backup-simplify]: Simplify k into k 2.496 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [backup-simplify]: Simplify 1.0 into 1.0 2.496 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.496 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.496 * [taylor]: Taking taylor expansion of -2.0 in n 2.496 * [backup-simplify]: Simplify -2.0 into -2.0 2.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [backup-simplify]: Simplify PI into PI 2.496 * [taylor]: Taking taylor expansion of n in n 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ PI 1) into PI 2.497 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.498 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.498 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.499 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.500 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.501 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.502 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.502 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.503 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.506 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.506 * * * [progress]: simplifying candidates 2.511 * [simplify]: Simplifying: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.521 * * [simplify]: Extracting # 0 : cost 0 2.522 * * [simplify]: Extracting # 1 : cost 0 2.523 * * [simplify]: Extracting # 2 : cost 0 2.523 * * [simplify]: Extracting # 3 : cost 0 2.524 * * [simplify]: Extracting # 4 : cost 0 2.525 * * [simplify]: Extracting # 5 : cost 0 2.526 * * [simplify]: Extracting # 6 : cost 0 2.527 * * [simplify]: Extracting # 7 : cost 0 2.528 * * [simplify]: Extracting # 8 : cost 0 2.530 * * [simplify]: Extracting # 9 : cost 0 2.531 * * [simplify]: Extracting # 10 : cost 0 2.532 * * [simplify]: Extracting # 11 : cost 0 2.533 * * [simplify]: Extracting # 12 : cost 0 2.535 * * [simplify]: Extracting # 13 : cost 0 2.536 * * [simplify]: Extracting # 14 : cost 0 2.537 * * [simplify]: Extracting # 15 : cost 0 2.538 * * [simplify]: Extracting # 16 : cost 0 2.539 * * [simplify]: Extracting # 17 : cost 0 2.541 * * [simplify]: Extracting # 18 : cost 0 2.542 * * [simplify]: Extracting # 19 : cost 0 2.543 * * [simplify]: Extracting # 20 : cost 0 2.544 * * [simplify]: Extracting # 21 : cost 0 2.546 * * [simplify]: Extracting # 22 : cost 0 2.547 * * [simplify]: Extracting # 23 : cost 0 2.548 * * [simplify]: Extracting # 24 : cost 0 2.549 * * [simplify]: Extracting # 25 : cost 0 2.550 * * [simplify]: Extracting # 26 : cost 0 2.558 * * [simplify]: Extracting # 27 : cost 0 2.559 * * [simplify]: Extracting # 28 : cost 0 2.560 * * [simplify]: Extracting # 29 : cost 0 2.560 * * [simplify]: Extracting # 30 : cost 0 2.561 * * [simplify]: Extracting # 31 : cost 0 2.561 * * [simplify]: Extracting # 32 : cost 0 2.562 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.714 * * [simplify]: Extracting # 0 : cost 0 2.717 * * [simplify]: Extracting # 1 : cost 0 2.720 * * [simplify]: Extracting # 2 : cost 0 2.723 * * [simplify]: Extracting # 3 : cost 0 2.727 * * [simplify]: Extracting # 4 : cost 0 2.730 * * [simplify]: Extracting # 5 : cost 0 2.733 * * [simplify]: Extracting # 6 : cost 0 2.736 * * [simplify]: iteration 1 : 1038 enodes (cost 2720 ) 3.548 * * [simplify]: Extracting # 0 : cost 0 3.554 * * [simplify]: Extracting # 1 : cost 0 3.567 * * [simplify]: Extracting # 2 : cost 0 3.580 * * [simplify]: Extracting # 3 : cost 0 3.593 * * [simplify]: Extracting # 4 : cost 0 3.607 * * [simplify]: Extracting # 5 : cost 0 3.620 * * [simplify]: iteration 2 : 4964 enodes (cost 2556 ) 5.343 * * [simplify]: Extracting # 0 : cost 0 5.351 * * [simplify]: Extracting # 1 : cost 0 5.364 * * [simplify]: Extracting # 2 : cost 0 5.376 * * [simplify]: Extracting # 3 : cost 0 5.384 * * [simplify]: iteration done: 5000 enodes (cost 2555 ) 5.386 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (pow PI 3) (* (pow 2.0 3) (pow n 3))) (* (pow (* 2.0 PI) 3) (pow n 3)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (/ (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (pow 1.0 3)) k) (sqrt k)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (pow k 2)))) (- (+ (fma (* (* (* (pow k 2) (log (* 2.0 PI))) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25 (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) 0.5)) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) (fma (- +nan.0) (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (* +nan.0 (* k (log (* 2.0 PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 5.387 * * * [progress]: adding candidates to table 6.156 * * [progress]: iteration 2 / 4 6.156 * * * [progress]: picking best candidate 6.227 * * * * [pick]: Picked # 6.227 * * * [progress]: localizing error 6.273 * * * [progress]: generating rewritten candidates 6.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.286 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 6.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.354 * * * [progress]: generating series expansions 6.354 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.354 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.354 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.354 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.354 * [taylor]: Taking taylor expansion of 1.0 in k 6.354 * [backup-simplify]: Simplify 1.0 into 1.0 6.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.354 * [taylor]: Taking taylor expansion of k in k 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.355 * [backup-simplify]: Simplify (sqrt 0) into 0 6.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.356 * [taylor]: Taking taylor expansion of 1.0 in k 6.356 * [backup-simplify]: Simplify 1.0 into 1.0 6.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.356 * [taylor]: Taking taylor expansion of k in k 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [backup-simplify]: Simplify (sqrt 0) into 0 6.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.358 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.363 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.363 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.369 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.370 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.370 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.370 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.370 * [taylor]: Taking taylor expansion of 1.0 in k 6.370 * [backup-simplify]: Simplify 1.0 into 1.0 6.370 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.370 * [taylor]: Taking taylor expansion of k in k 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (sqrt 0) into 0 6.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.371 * [taylor]: Taking taylor expansion of 1.0 in k 6.371 * [backup-simplify]: Simplify 1.0 into 1.0 6.371 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.371 * [taylor]: Taking taylor expansion of k in k 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (sqrt 0) into 0 6.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.373 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.373 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.374 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.377 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.382 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 6.382 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.382 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.382 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.382 * [taylor]: Taking taylor expansion of 1.0 in k 6.382 * [backup-simplify]: Simplify 1.0 into 1.0 6.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.382 * [taylor]: Taking taylor expansion of -1 in k 6.382 * [backup-simplify]: Simplify -1 into -1 6.382 * [taylor]: Taking taylor expansion of k in k 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (/ -1 1) into -1 6.383 * [backup-simplify]: Simplify (sqrt 0) into 0 6.383 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.384 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.384 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.384 * [taylor]: Taking taylor expansion of 1.0 in k 6.384 * [backup-simplify]: Simplify 1.0 into 1.0 6.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.384 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.384 * [taylor]: Taking taylor expansion of -1 in k 6.384 * [backup-simplify]: Simplify -1 into -1 6.384 * [taylor]: Taking taylor expansion of k in k 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (/ -1 1) into -1 6.384 * [backup-simplify]: Simplify (sqrt 0) into 0 6.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.385 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.389 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.389 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.395 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.395 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.396 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.396 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.396 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.396 * [taylor]: Taking taylor expansion of 1.0 in k 6.396 * [backup-simplify]: Simplify 1.0 into 1.0 6.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.396 * [taylor]: Taking taylor expansion of k in k 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (/ 1 1) into 1 6.397 * [backup-simplify]: Simplify (sqrt 0) into 0 6.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.398 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.398 * [taylor]: Taking taylor expansion of 1.0 in k 6.398 * [backup-simplify]: Simplify 1.0 into 1.0 6.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.398 * [taylor]: Taking taylor expansion of k in k 6.398 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify 1 into 1 6.399 * [backup-simplify]: Simplify (/ 1 1) into 1 6.399 * [backup-simplify]: Simplify (sqrt 0) into 0 6.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.401 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.403 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.408 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.416 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.417 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.418 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.418 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.418 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.418 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.418 * [taylor]: Taking taylor expansion of 1.0 in k 6.418 * [backup-simplify]: Simplify 1.0 into 1.0 6.418 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.418 * [taylor]: Taking taylor expansion of k in k 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (sqrt 0) into 0 6.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.419 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.419 * [taylor]: Taking taylor expansion of 1.0 in k 6.419 * [backup-simplify]: Simplify 1.0 into 1.0 6.419 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.419 * [taylor]: Taking taylor expansion of k in k 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (sqrt 0) into 0 6.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.421 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.425 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.425 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.428 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.430 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 6.430 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.430 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.430 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.430 * [taylor]: Taking taylor expansion of 1.0 in k 6.430 * [backup-simplify]: Simplify 1.0 into 1.0 6.430 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.430 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.430 * [taylor]: Taking taylor expansion of -1 in k 6.430 * [backup-simplify]: Simplify -1 into -1 6.430 * [taylor]: Taking taylor expansion of k in k 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (/ -1 1) into -1 6.431 * [backup-simplify]: Simplify (sqrt 0) into 0 6.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.432 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.432 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.432 * [taylor]: Taking taylor expansion of 1.0 in k 6.432 * [backup-simplify]: Simplify 1.0 into 1.0 6.432 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.432 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.432 * [taylor]: Taking taylor expansion of -1 in k 6.432 * [backup-simplify]: Simplify -1 into -1 6.432 * [taylor]: Taking taylor expansion of k in k 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (/ -1 1) into -1 6.432 * [backup-simplify]: Simplify (sqrt 0) into 0 6.433 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.433 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.443 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.444 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.449 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.450 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.450 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.450 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.451 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 6.451 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.451 * [taylor]: Taking taylor expansion of 0.5 in k 6.451 * [backup-simplify]: Simplify 0.5 into 0.5 6.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.451 * [taylor]: Taking taylor expansion of 1.0 in k 6.451 * [backup-simplify]: Simplify 1.0 into 1.0 6.451 * [taylor]: Taking taylor expansion of k in k 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.451 * [taylor]: Taking taylor expansion of 2.0 in k 6.451 * [backup-simplify]: Simplify 2.0 into 2.0 6.451 * [taylor]: Taking taylor expansion of (* n PI) in k 6.451 * [taylor]: Taking taylor expansion of n in k 6.451 * [backup-simplify]: Simplify n into n 6.451 * [taylor]: Taking taylor expansion of PI in k 6.451 * [backup-simplify]: Simplify PI into PI 6.451 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.451 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.452 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.452 * [backup-simplify]: Simplify (- 0) into 0 6.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.452 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.452 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.453 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.453 * [taylor]: Taking taylor expansion of 0.5 in n 6.453 * [backup-simplify]: Simplify 0.5 into 0.5 6.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.453 * [taylor]: Taking taylor expansion of 1.0 in n 6.453 * [backup-simplify]: Simplify 1.0 into 1.0 6.453 * [taylor]: Taking taylor expansion of k in n 6.453 * [backup-simplify]: Simplify k into k 6.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.453 * [taylor]: Taking taylor expansion of 2.0 in n 6.453 * [backup-simplify]: Simplify 2.0 into 2.0 6.453 * [taylor]: Taking taylor expansion of (* n PI) in n 6.453 * [taylor]: Taking taylor expansion of n in n 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [taylor]: Taking taylor expansion of PI in n 6.453 * [backup-simplify]: Simplify PI into PI 6.453 * [backup-simplify]: Simplify (* 0 PI) into 0 6.454 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.456 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.457 * [backup-simplify]: Simplify (- k) into (- k) 6.457 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.457 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.458 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.459 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.460 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.460 * [taylor]: Taking taylor expansion of 0.5 in n 6.460 * [backup-simplify]: Simplify 0.5 into 0.5 6.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.460 * [taylor]: Taking taylor expansion of 1.0 in n 6.460 * [backup-simplify]: Simplify 1.0 into 1.0 6.460 * [taylor]: Taking taylor expansion of k in n 6.460 * [backup-simplify]: Simplify k into k 6.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.461 * [taylor]: Taking taylor expansion of 2.0 in n 6.461 * [backup-simplify]: Simplify 2.0 into 2.0 6.461 * [taylor]: Taking taylor expansion of (* n PI) in n 6.461 * [taylor]: Taking taylor expansion of n in n 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [taylor]: Taking taylor expansion of PI in n 6.461 * [backup-simplify]: Simplify PI into PI 6.461 * [backup-simplify]: Simplify (* 0 PI) into 0 6.462 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.465 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.466 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.466 * [backup-simplify]: Simplify (- k) into (- k) 6.466 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.466 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.469 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.470 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.470 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.470 * [taylor]: Taking taylor expansion of 0.5 in k 6.470 * [backup-simplify]: Simplify 0.5 into 0.5 6.470 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.470 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.470 * [taylor]: Taking taylor expansion of 1.0 in k 6.470 * [backup-simplify]: Simplify 1.0 into 1.0 6.470 * [taylor]: Taking taylor expansion of k in k 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.471 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.471 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.471 * [taylor]: Taking taylor expansion of 2.0 in k 6.471 * [backup-simplify]: Simplify 2.0 into 2.0 6.471 * [taylor]: Taking taylor expansion of PI in k 6.471 * [backup-simplify]: Simplify PI into PI 6.471 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.472 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.472 * [taylor]: Taking taylor expansion of (log n) in k 6.472 * [taylor]: Taking taylor expansion of n in k 6.472 * [backup-simplify]: Simplify n into n 6.473 * [backup-simplify]: Simplify (log n) into (log n) 6.473 * [backup-simplify]: Simplify (- 0) into 0 6.473 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.474 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.476 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.477 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 6.478 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.479 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.483 * [backup-simplify]: Simplify (- 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.485 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.486 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.486 * [taylor]: Taking taylor expansion of 0 in k 6.486 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (- 1) into -1 6.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.492 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 6.494 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.495 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.497 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.499 * [backup-simplify]: Simplify (- 0) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.502 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.503 * [taylor]: Taking taylor expansion of 0 in k 6.503 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (- 0) into 0 6.508 * [backup-simplify]: Simplify (+ 0 0) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.514 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.519 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.529 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 6.530 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 6.530 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.530 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.530 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.530 * [taylor]: Taking taylor expansion of 0.5 in k 6.530 * [backup-simplify]: Simplify 0.5 into 0.5 6.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.530 * [taylor]: Taking taylor expansion of 1.0 in k 6.530 * [backup-simplify]: Simplify 1.0 into 1.0 6.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.530 * [taylor]: Taking taylor expansion of k in k 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (/ 1 1) into 1 6.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.530 * [taylor]: Taking taylor expansion of 2.0 in k 6.531 * [backup-simplify]: Simplify 2.0 into 2.0 6.531 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.531 * [taylor]: Taking taylor expansion of PI in k 6.531 * [backup-simplify]: Simplify PI into PI 6.531 * [taylor]: Taking taylor expansion of n in k 6.531 * [backup-simplify]: Simplify n into n 6.531 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.531 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.531 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.531 * [backup-simplify]: Simplify (- 1) into -1 6.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.532 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.532 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.532 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 6.532 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.533 * [taylor]: Taking taylor expansion of 0.5 in n 6.533 * [backup-simplify]: Simplify 0.5 into 0.5 6.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.533 * [taylor]: Taking taylor expansion of 1.0 in n 6.533 * [backup-simplify]: Simplify 1.0 into 1.0 6.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.533 * [taylor]: Taking taylor expansion of k in n 6.533 * [backup-simplify]: Simplify k into k 6.533 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.533 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.533 * [taylor]: Taking taylor expansion of 2.0 in n 6.533 * [backup-simplify]: Simplify 2.0 into 2.0 6.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.533 * [taylor]: Taking taylor expansion of PI in n 6.533 * [backup-simplify]: Simplify PI into PI 6.533 * [taylor]: Taking taylor expansion of n in n 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ PI 1) into PI 6.534 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.535 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.535 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.535 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.535 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.538 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.539 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.539 * [taylor]: Taking taylor expansion of 0.5 in n 6.539 * [backup-simplify]: Simplify 0.5 into 0.5 6.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.539 * [taylor]: Taking taylor expansion of 1.0 in n 6.539 * [backup-simplify]: Simplify 1.0 into 1.0 6.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.539 * [taylor]: Taking taylor expansion of k in n 6.539 * [backup-simplify]: Simplify k into k 6.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.539 * [taylor]: Taking taylor expansion of 2.0 in n 6.539 * [backup-simplify]: Simplify 2.0 into 2.0 6.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.540 * [taylor]: Taking taylor expansion of PI in n 6.540 * [backup-simplify]: Simplify PI into PI 6.540 * [taylor]: Taking taylor expansion of n in n 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (/ PI 1) into PI 6.541 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.541 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.542 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.542 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.542 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.544 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.545 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.546 * [taylor]: Taking taylor expansion of 0.5 in k 6.546 * [backup-simplify]: Simplify 0.5 into 0.5 6.546 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.546 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.546 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.546 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.546 * [taylor]: Taking taylor expansion of 2.0 in k 6.546 * [backup-simplify]: Simplify 2.0 into 2.0 6.546 * [taylor]: Taking taylor expansion of PI in k 6.546 * [backup-simplify]: Simplify PI into PI 6.546 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.547 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.547 * [taylor]: Taking taylor expansion of (log n) in k 6.547 * [taylor]: Taking taylor expansion of n in k 6.547 * [backup-simplify]: Simplify n into n 6.548 * [backup-simplify]: Simplify (log n) into (log n) 6.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.548 * [taylor]: Taking taylor expansion of 1.0 in k 6.548 * [backup-simplify]: Simplify 1.0 into 1.0 6.548 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.548 * [taylor]: Taking taylor expansion of k in k 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.549 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.550 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.550 * [backup-simplify]: Simplify (- 1) into -1 6.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.552 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.553 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 6.554 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.555 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.566 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.567 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.567 * [taylor]: Taking taylor expansion of 0 in k 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.571 * [backup-simplify]: Simplify (- 0) into 0 6.571 * [backup-simplify]: Simplify (+ 0 0) into 0 6.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.573 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.575 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.575 * [taylor]: Taking taylor expansion of 0 in k 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.582 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 6.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.582 * [backup-simplify]: Simplify (- 0) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.588 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.591 * [taylor]: Taking taylor expansion of 0 in k 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 6.594 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 6.594 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.594 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.594 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.594 * [taylor]: Taking taylor expansion of 0.5 in k 6.594 * [backup-simplify]: Simplify 0.5 into 0.5 6.594 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.594 * [taylor]: Taking taylor expansion of k in k 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [taylor]: Taking taylor expansion of 1.0 in k 6.595 * [backup-simplify]: Simplify 1.0 into 1.0 6.595 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.595 * [taylor]: Taking taylor expansion of -2.0 in k 6.595 * [backup-simplify]: Simplify -2.0 into -2.0 6.595 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.595 * [taylor]: Taking taylor expansion of PI in k 6.595 * [backup-simplify]: Simplify PI into PI 6.595 * [taylor]: Taking taylor expansion of n in k 6.595 * [backup-simplify]: Simplify n into n 6.595 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.595 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.595 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.596 * [backup-simplify]: Simplify (+ 1 0) into 1 6.596 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.596 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.597 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 6.597 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.597 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.597 * [taylor]: Taking taylor expansion of 0.5 in n 6.597 * [backup-simplify]: Simplify 0.5 into 0.5 6.597 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.597 * [taylor]: Taking taylor expansion of k in n 6.597 * [backup-simplify]: Simplify k into k 6.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.597 * [taylor]: Taking taylor expansion of 1.0 in n 6.597 * [backup-simplify]: Simplify 1.0 into 1.0 6.597 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.597 * [taylor]: Taking taylor expansion of -2.0 in n 6.597 * [backup-simplify]: Simplify -2.0 into -2.0 6.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.597 * [taylor]: Taking taylor expansion of PI in n 6.597 * [backup-simplify]: Simplify PI into PI 6.597 * [taylor]: Taking taylor expansion of n in n 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 1 into 1 6.598 * [backup-simplify]: Simplify (/ PI 1) into PI 6.599 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.600 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.600 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.600 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.603 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.604 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.604 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.605 * [taylor]: Taking taylor expansion of 0.5 in n 6.605 * [backup-simplify]: Simplify 0.5 into 0.5 6.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.605 * [taylor]: Taking taylor expansion of k in n 6.605 * [backup-simplify]: Simplify k into k 6.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.605 * [taylor]: Taking taylor expansion of 1.0 in n 6.605 * [backup-simplify]: Simplify 1.0 into 1.0 6.605 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.605 * [taylor]: Taking taylor expansion of -2.0 in n 6.605 * [backup-simplify]: Simplify -2.0 into -2.0 6.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.605 * [taylor]: Taking taylor expansion of PI in n 6.605 * [backup-simplify]: Simplify PI into PI 6.605 * [taylor]: Taking taylor expansion of n in n 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (/ PI 1) into PI 6.606 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.607 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.608 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.608 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.610 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.611 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.611 * [taylor]: Taking taylor expansion of 0.5 in k 6.611 * [backup-simplify]: Simplify 0.5 into 0.5 6.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.611 * [taylor]: Taking taylor expansion of k in k 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.612 * [backup-simplify]: Simplify (/ 1 1) into 1 6.612 * [taylor]: Taking taylor expansion of 1.0 in k 6.612 * [backup-simplify]: Simplify 1.0 into 1.0 6.612 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.612 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.612 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.612 * [taylor]: Taking taylor expansion of -2.0 in k 6.612 * [backup-simplify]: Simplify -2.0 into -2.0 6.612 * [taylor]: Taking taylor expansion of PI in k 6.612 * [backup-simplify]: Simplify PI into PI 6.612 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.613 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.613 * [taylor]: Taking taylor expansion of (log n) in k 6.613 * [taylor]: Taking taylor expansion of n in k 6.613 * [backup-simplify]: Simplify n into n 6.613 * [backup-simplify]: Simplify (log n) into (log n) 6.613 * [backup-simplify]: Simplify (+ 1 0) into 1 6.613 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.614 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.615 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.615 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.616 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.617 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.622 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.623 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.623 * [taylor]: Taking taylor expansion of 0 in k 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 6.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.627 * [backup-simplify]: Simplify (+ 0 0) into 0 6.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.630 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.632 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.632 * [taylor]: Taking taylor expansion of 0 in k 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.637 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.641 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.643 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.643 * [taylor]: Taking taylor expansion of 0 in k 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 6.644 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 6.645 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.645 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.646 * [taylor]: Taking taylor expansion of 2.0 in n 6.646 * [backup-simplify]: Simplify 2.0 into 2.0 6.646 * [taylor]: Taking taylor expansion of (* n PI) in n 6.646 * [taylor]: Taking taylor expansion of n in n 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.646 * [taylor]: Taking taylor expansion of PI in n 6.646 * [backup-simplify]: Simplify PI into PI 6.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.646 * [taylor]: Taking taylor expansion of 2.0 in n 6.646 * [backup-simplify]: Simplify 2.0 into 2.0 6.646 * [taylor]: Taking taylor expansion of (* n PI) in n 6.646 * [taylor]: Taking taylor expansion of n in n 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.646 * [taylor]: Taking taylor expansion of PI in n 6.646 * [backup-simplify]: Simplify PI into PI 6.646 * [backup-simplify]: Simplify (* 0 PI) into 0 6.647 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.649 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.649 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.651 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.652 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.652 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.654 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.657 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.661 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.667 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 6.667 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.667 * [taylor]: Taking taylor expansion of 2.0 in n 6.667 * [backup-simplify]: Simplify 2.0 into 2.0 6.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.668 * [taylor]: Taking taylor expansion of PI in n 6.668 * [backup-simplify]: Simplify PI into PI 6.668 * [taylor]: Taking taylor expansion of n in n 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (/ PI 1) into PI 6.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.668 * [taylor]: Taking taylor expansion of 2.0 in n 6.668 * [backup-simplify]: Simplify 2.0 into 2.0 6.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.668 * [taylor]: Taking taylor expansion of PI in n 6.668 * [backup-simplify]: Simplify PI into PI 6.668 * [taylor]: Taking taylor expansion of n in n 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (/ PI 1) into PI 6.670 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.670 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.673 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.674 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 6.680 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 6.680 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.680 * [taylor]: Taking taylor expansion of -2.0 in n 6.680 * [backup-simplify]: Simplify -2.0 into -2.0 6.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.680 * [taylor]: Taking taylor expansion of PI in n 6.680 * [backup-simplify]: Simplify PI into PI 6.680 * [taylor]: Taking taylor expansion of n in n 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (/ PI 1) into PI 6.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.680 * [taylor]: Taking taylor expansion of -2.0 in n 6.680 * [backup-simplify]: Simplify -2.0 into -2.0 6.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.680 * [taylor]: Taking taylor expansion of PI in n 6.680 * [backup-simplify]: Simplify PI into PI 6.680 * [taylor]: Taking taylor expansion of n in n 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ PI 1) into PI 6.681 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.688 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.689 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.690 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.690 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.692 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.693 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.695 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.697 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 6.697 * * * [progress]: simplifying candidates 6.699 * [simplify]: Simplifying: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 6.702 * * [simplify]: Extracting # 0 : cost 0 6.703 * * [simplify]: Extracting # 1 : cost 0 6.703 * * [simplify]: Extracting # 2 : cost 0 6.703 * * [simplify]: Extracting # 3 : cost 0 6.703 * * [simplify]: Extracting # 4 : cost 0 6.704 * * [simplify]: Extracting # 5 : cost 0 6.704 * * [simplify]: Extracting # 6 : cost 0 6.704 * * [simplify]: Extracting # 7 : cost 0 6.705 * * [simplify]: Extracting # 8 : cost 0 6.705 * * [simplify]: Extracting # 9 : cost 0 6.706 * * [simplify]: Extracting # 10 : cost 0 6.706 * * [simplify]: Extracting # 11 : cost 0 6.706 * * [simplify]: Extracting # 12 : cost 0 6.707 * * [simplify]: Extracting # 13 : cost 0 6.707 * * [simplify]: Extracting # 14 : cost 0 6.707 * * [simplify]: Extracting # 15 : cost 0 6.708 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 6.832 * * [simplify]: Extracting # 0 : cost 0 6.834 * * [simplify]: Extracting # 1 : cost 0 6.836 * * [simplify]: Extracting # 2 : cost 0 6.837 * * [simplify]: Extracting # 3 : cost 0 6.839 * * [simplify]: Extracting # 4 : cost 0 6.841 * * [simplify]: Extracting # 5 : cost 0 6.842 * * [simplify]: iteration 1 : 617 enodes (cost 1560 ) 7.308 * * [simplify]: Extracting # 0 : cost 0 7.311 * * [simplify]: Extracting # 1 : cost 0 7.316 * * [simplify]: Extracting # 2 : cost 0 7.320 * * [simplify]: Extracting # 3 : cost 0 7.325 * * [simplify]: Extracting # 4 : cost 0 7.333 * * [simplify]: iteration 2 : 2789 enodes (cost 1462 ) 8.529 * * [simplify]: Extracting # 0 : cost 0 8.541 * * [simplify]: Extracting # 1 : cost 0 8.554 * * [simplify]: Extracting # 2 : cost 0 8.561 * * [simplify]: iteration done: 5000 enodes (cost 1455 ) 8.562 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* n (* 2.0 PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (* (* (pow PI 3) (pow 2.0 3)) (pow n 3)) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (cbrt n) (cbrt n)) (* 2.0 PI)) (* (sqrt n) (* 2.0 PI)) (* PI 2.0) (* PI n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (- (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))) (fma (* 0.25 (pow k 2)) (* (log n) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5))) (pow (* (* 2.0 PI) n) 0.5))) (* 0.5 (* k (fma (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) 8.563 * * * [progress]: adding candidates to table 9.391 * * [progress]: iteration 3 / 4 9.391 * * * [progress]: picking best candidate 9.458 * * * * [pick]: Picked # 9.458 * * * [progress]: localizing error 9.495 * * * [progress]: generating rewritten candidates 9.495 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 9.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.539 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.600 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.630 * * * [progress]: generating series expansions 9.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 9.631 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 9.632 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 9.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.632 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.632 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.632 * [taylor]: Taking taylor expansion of 0.5 in k 9.632 * [backup-simplify]: Simplify 0.5 into 0.5 9.632 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.632 * [taylor]: Taking taylor expansion of 1.0 in k 9.632 * [backup-simplify]: Simplify 1.0 into 1.0 9.632 * [taylor]: Taking taylor expansion of k in k 9.632 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify 1 into 1 9.632 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.632 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.632 * [taylor]: Taking taylor expansion of 2.0 in k 9.632 * [backup-simplify]: Simplify 2.0 into 2.0 9.632 * [taylor]: Taking taylor expansion of PI in k 9.632 * [backup-simplify]: Simplify PI into PI 9.633 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.634 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.634 * [backup-simplify]: Simplify (- 0) into 0 9.635 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.635 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.637 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.640 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.640 * [taylor]: Taking taylor expansion of 0.5 in k 9.640 * [backup-simplify]: Simplify 0.5 into 0.5 9.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.640 * [taylor]: Taking taylor expansion of 1.0 in k 9.640 * [backup-simplify]: Simplify 1.0 into 1.0 9.640 * [taylor]: Taking taylor expansion of k in k 9.640 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.641 * [taylor]: Taking taylor expansion of 2.0 in k 9.641 * [backup-simplify]: Simplify 2.0 into 2.0 9.641 * [taylor]: Taking taylor expansion of PI in k 9.641 * [backup-simplify]: Simplify PI into PI 9.641 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.642 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.643 * [backup-simplify]: Simplify (- 0) into 0 9.643 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.644 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.645 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.654 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.656 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 9.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.659 * [backup-simplify]: Simplify (- 1) into -1 9.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.661 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.678 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.685 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.686 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.690 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 9.691 * [backup-simplify]: Simplify (- 0) into 0 9.691 * [backup-simplify]: Simplify (+ 0 0) into 0 9.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.710 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.718 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.737 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 9.738 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 9.738 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 9.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.738 * [taylor]: Taking taylor expansion of 0.5 in k 9.738 * [backup-simplify]: Simplify 0.5 into 0.5 9.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.738 * [taylor]: Taking taylor expansion of 1.0 in k 9.738 * [backup-simplify]: Simplify 1.0 into 1.0 9.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.738 * [taylor]: Taking taylor expansion of k in k 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.739 * [backup-simplify]: Simplify (/ 1 1) into 1 9.739 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.739 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.739 * [taylor]: Taking taylor expansion of 2.0 in k 9.739 * [backup-simplify]: Simplify 2.0 into 2.0 9.739 * [taylor]: Taking taylor expansion of PI in k 9.739 * [backup-simplify]: Simplify PI into PI 9.739 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.740 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.741 * [backup-simplify]: Simplify (- 1) into -1 9.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.742 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.744 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.745 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.745 * [taylor]: Taking taylor expansion of 0.5 in k 9.745 * [backup-simplify]: Simplify 0.5 into 0.5 9.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.745 * [taylor]: Taking taylor expansion of 1.0 in k 9.745 * [backup-simplify]: Simplify 1.0 into 1.0 9.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.745 * [taylor]: Taking taylor expansion of k in k 9.745 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify 1 into 1 9.746 * [backup-simplify]: Simplify (/ 1 1) into 1 9.746 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.746 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.746 * [taylor]: Taking taylor expansion of 2.0 in k 9.746 * [backup-simplify]: Simplify 2.0 into 2.0 9.746 * [taylor]: Taking taylor expansion of PI in k 9.746 * [backup-simplify]: Simplify PI into PI 9.746 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.748 * [backup-simplify]: Simplify (- 1) into -1 9.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.749 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.751 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.752 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.754 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 9.757 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 9.757 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 9.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.757 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.757 * [taylor]: Taking taylor expansion of 0.5 in k 9.757 * [backup-simplify]: Simplify 0.5 into 0.5 9.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.757 * [taylor]: Taking taylor expansion of k in k 9.757 * [backup-simplify]: Simplify 0 into 0 9.757 * [backup-simplify]: Simplify 1 into 1 9.758 * [backup-simplify]: Simplify (/ 1 1) into 1 9.758 * [taylor]: Taking taylor expansion of 1.0 in k 9.758 * [backup-simplify]: Simplify 1.0 into 1.0 9.758 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.758 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.758 * [taylor]: Taking taylor expansion of 2.0 in k 9.758 * [backup-simplify]: Simplify 2.0 into 2.0 9.758 * [taylor]: Taking taylor expansion of PI in k 9.758 * [backup-simplify]: Simplify PI into PI 9.758 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.760 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.760 * [backup-simplify]: Simplify (+ 1 0) into 1 9.761 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.763 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.764 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.764 * [taylor]: Taking taylor expansion of 0.5 in k 9.764 * [backup-simplify]: Simplify 0.5 into 0.5 9.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.764 * [taylor]: Taking taylor expansion of k in k 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (/ 1 1) into 1 9.765 * [taylor]: Taking taylor expansion of 1.0 in k 9.765 * [backup-simplify]: Simplify 1.0 into 1.0 9.765 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.765 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.765 * [taylor]: Taking taylor expansion of 2.0 in k 9.765 * [backup-simplify]: Simplify 2.0 into 2.0 9.765 * [taylor]: Taking taylor expansion of PI in k 9.765 * [backup-simplify]: Simplify PI into PI 9.766 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.767 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.767 * [backup-simplify]: Simplify (+ 1 0) into 1 9.768 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.770 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.772 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.773 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 9.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.775 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.775 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.775 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.775 * [taylor]: Taking taylor expansion of 1.0 in k 9.775 * [backup-simplify]: Simplify 1.0 into 1.0 9.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.775 * [taylor]: Taking taylor expansion of k in k 9.775 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 1 into 1 9.776 * [backup-simplify]: Simplify (/ 1 1) into 1 9.776 * [backup-simplify]: Simplify (sqrt 0) into 0 9.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.778 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.778 * [taylor]: Taking taylor expansion of 1.0 in k 9.778 * [backup-simplify]: Simplify 1.0 into 1.0 9.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.778 * [taylor]: Taking taylor expansion of k in k 9.778 * [backup-simplify]: Simplify 0 into 0 9.778 * [backup-simplify]: Simplify 1 into 1 9.779 * [backup-simplify]: Simplify (/ 1 1) into 1 9.779 * [backup-simplify]: Simplify (sqrt 0) into 0 9.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.781 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.781 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.783 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.788 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.788 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.792 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.794 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.794 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.794 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.794 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.794 * [taylor]: Taking taylor expansion of 1.0 in k 9.794 * [backup-simplify]: Simplify 1.0 into 1.0 9.794 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.794 * [taylor]: Taking taylor expansion of k in k 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [backup-simplify]: Simplify (sqrt 0) into 0 9.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.795 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.795 * [taylor]: Taking taylor expansion of 1.0 in k 9.795 * [backup-simplify]: Simplify 1.0 into 1.0 9.795 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.795 * [taylor]: Taking taylor expansion of k in k 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [backup-simplify]: Simplify (sqrt 0) into 0 9.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.797 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.797 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.798 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.806 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.807 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.808 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.811 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.812 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.813 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 9.813 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.813 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.813 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.813 * [taylor]: Taking taylor expansion of 1.0 in k 9.813 * [backup-simplify]: Simplify 1.0 into 1.0 9.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.813 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.813 * [taylor]: Taking taylor expansion of -1 in k 9.813 * [backup-simplify]: Simplify -1 into -1 9.813 * [taylor]: Taking taylor expansion of k in k 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (/ -1 1) into -1 9.814 * [backup-simplify]: Simplify (sqrt 0) into 0 9.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.815 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.815 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.815 * [taylor]: Taking taylor expansion of 1.0 in k 9.815 * [backup-simplify]: Simplify 1.0 into 1.0 9.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.815 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.815 * [taylor]: Taking taylor expansion of -1 in k 9.815 * [backup-simplify]: Simplify -1 into -1 9.815 * [taylor]: Taking taylor expansion of k in k 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [backup-simplify]: Simplify (/ -1 1) into -1 9.816 * [backup-simplify]: Simplify (sqrt 0) into 0 9.816 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.817 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.820 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.821 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.826 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.827 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.828 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 9.828 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.829 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 9.829 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 9.829 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 9.829 * [taylor]: Taking taylor expansion of 1.0 in k 9.829 * [backup-simplify]: Simplify 1.0 into 1.0 9.829 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 9.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.829 * [taylor]: Taking taylor expansion of k in k 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [backup-simplify]: Simplify (/ 1 1) into 1 9.830 * [backup-simplify]: Simplify (sqrt 0) into 0 9.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.831 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.831 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.831 * [taylor]: Taking taylor expansion of 0.5 in k 9.831 * [backup-simplify]: Simplify 0.5 into 0.5 9.831 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.832 * [taylor]: Taking taylor expansion of 1.0 in k 9.832 * [backup-simplify]: Simplify 1.0 into 1.0 9.832 * [taylor]: Taking taylor expansion of k in k 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.832 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.832 * [taylor]: Taking taylor expansion of 2.0 in k 9.832 * [backup-simplify]: Simplify 2.0 into 2.0 9.832 * [taylor]: Taking taylor expansion of PI in k 9.832 * [backup-simplify]: Simplify PI into PI 9.832 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.834 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.834 * [backup-simplify]: Simplify (- 0) into 0 9.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.835 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.837 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.839 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.840 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 9.840 * [taylor]: Taking taylor expansion of 1.0 in k 9.840 * [backup-simplify]: Simplify 1.0 into 1.0 9.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 9.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.840 * [taylor]: Taking taylor expansion of k in k 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [backup-simplify]: Simplify (/ 1 1) into 1 9.841 * [backup-simplify]: Simplify (sqrt 0) into 0 9.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.842 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.842 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.842 * [taylor]: Taking taylor expansion of 0.5 in k 9.842 * [backup-simplify]: Simplify 0.5 into 0.5 9.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.842 * [taylor]: Taking taylor expansion of 1.0 in k 9.842 * [backup-simplify]: Simplify 1.0 into 1.0 9.842 * [taylor]: Taking taylor expansion of k in k 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.842 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.842 * [taylor]: Taking taylor expansion of 2.0 in k 9.843 * [backup-simplify]: Simplify 2.0 into 2.0 9.843 * [taylor]: Taking taylor expansion of PI in k 9.843 * [backup-simplify]: Simplify PI into PI 9.843 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.844 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.845 * [backup-simplify]: Simplify (- 0) into 0 9.845 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.846 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.847 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.851 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.852 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 9.852 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.855 * [backup-simplify]: Simplify (- 1) into -1 9.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.857 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.861 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.875 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.881 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.887 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.890 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.891 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 9.893 * [backup-simplify]: Simplify (- 0) into 0 9.893 * [backup-simplify]: Simplify (+ 0 0) into 0 9.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.906 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.940 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 9.971 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 9.988 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 9.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 9.992 * [backup-simplify]: Simplify (- 0) into 0 9.993 * [backup-simplify]: Simplify (+ 0 0) into 0 9.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 10.005 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 10.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.043 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 10.108 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 10.129 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 10.193 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 10.194 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 10.194 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 10.194 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.194 * [taylor]: Taking taylor expansion of 1.0 in k 10.194 * [backup-simplify]: Simplify 1.0 into 1.0 10.194 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.194 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.194 * [taylor]: Taking taylor expansion of k in k 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 1 into 1 10.195 * [backup-simplify]: Simplify (sqrt 0) into 0 10.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.196 * [taylor]: Taking taylor expansion of 0.5 in k 10.196 * [backup-simplify]: Simplify 0.5 into 0.5 10.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.196 * [taylor]: Taking taylor expansion of 1.0 in k 10.197 * [backup-simplify]: Simplify 1.0 into 1.0 10.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.197 * [taylor]: Taking taylor expansion of k in k 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify (/ 1 1) into 1 10.197 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.197 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.197 * [taylor]: Taking taylor expansion of 2.0 in k 10.197 * [backup-simplify]: Simplify 2.0 into 2.0 10.197 * [taylor]: Taking taylor expansion of PI in k 10.197 * [backup-simplify]: Simplify PI into PI 10.198 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.199 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.199 * [backup-simplify]: Simplify (- 1) into -1 10.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.200 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.202 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.203 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.203 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.203 * [taylor]: Taking taylor expansion of 1.0 in k 10.203 * [backup-simplify]: Simplify 1.0 into 1.0 10.203 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.203 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.203 * [taylor]: Taking taylor expansion of k in k 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.204 * [backup-simplify]: Simplify (sqrt 0) into 0 10.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.205 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.205 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.205 * [taylor]: Taking taylor expansion of 0.5 in k 10.205 * [backup-simplify]: Simplify 0.5 into 0.5 10.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.205 * [taylor]: Taking taylor expansion of 1.0 in k 10.206 * [backup-simplify]: Simplify 1.0 into 1.0 10.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.206 * [taylor]: Taking taylor expansion of k in k 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (/ 1 1) into 1 10.206 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.206 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.206 * [taylor]: Taking taylor expansion of 2.0 in k 10.206 * [backup-simplify]: Simplify 2.0 into 2.0 10.206 * [taylor]: Taking taylor expansion of PI in k 10.206 * [backup-simplify]: Simplify PI into PI 10.207 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.208 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.217 * [backup-simplify]: Simplify (- 1) into -1 10.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.218 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.220 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.222 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.223 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 10.223 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.223 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.227 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.228 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.236 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.238 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.244 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.245 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.247 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 10.248 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 10.248 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 10.248 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.248 * [taylor]: Taking taylor expansion of 1.0 in k 10.248 * [backup-simplify]: Simplify 1.0 into 1.0 10.248 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.248 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.248 * [taylor]: Taking taylor expansion of 0.5 in k 10.248 * [backup-simplify]: Simplify 0.5 into 0.5 10.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.248 * [taylor]: Taking taylor expansion of k in k 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.248 * [backup-simplify]: Simplify (/ 1 1) into 1 10.248 * [taylor]: Taking taylor expansion of 1.0 in k 10.248 * [backup-simplify]: Simplify 1.0 into 1.0 10.248 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.249 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.249 * [taylor]: Taking taylor expansion of 2.0 in k 10.249 * [backup-simplify]: Simplify 2.0 into 2.0 10.249 * [taylor]: Taking taylor expansion of PI in k 10.249 * [backup-simplify]: Simplify PI into PI 10.249 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.249 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.250 * [backup-simplify]: Simplify (+ 1 0) into 1 10.250 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.251 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.252 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.252 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.252 * [taylor]: Taking taylor expansion of -1 in k 10.252 * [backup-simplify]: Simplify -1 into -1 10.252 * [taylor]: Taking taylor expansion of k in k 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (/ -1 1) into -1 10.252 * [backup-simplify]: Simplify (sqrt 0) into 0 10.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.254 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.254 * [taylor]: Taking taylor expansion of 1.0 in k 10.254 * [backup-simplify]: Simplify 1.0 into 1.0 10.254 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.254 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.254 * [taylor]: Taking taylor expansion of 0.5 in k 10.254 * [backup-simplify]: Simplify 0.5 into 0.5 10.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.254 * [taylor]: Taking taylor expansion of k in k 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [backup-simplify]: Simplify (/ 1 1) into 1 10.255 * [taylor]: Taking taylor expansion of 1.0 in k 10.255 * [backup-simplify]: Simplify 1.0 into 1.0 10.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.255 * [taylor]: Taking taylor expansion of 2.0 in k 10.255 * [backup-simplify]: Simplify 2.0 into 2.0 10.255 * [taylor]: Taking taylor expansion of PI in k 10.255 * [backup-simplify]: Simplify PI into PI 10.255 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.256 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.256 * [backup-simplify]: Simplify (+ 1 0) into 1 10.256 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.257 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.258 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.258 * [taylor]: Taking taylor expansion of -1 in k 10.258 * [backup-simplify]: Simplify -1 into -1 10.258 * [taylor]: Taking taylor expansion of k in k 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.258 * [backup-simplify]: Simplify (/ -1 1) into -1 10.259 * [backup-simplify]: Simplify (sqrt 0) into 0 10.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.260 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.261 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.262 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.264 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.266 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.267 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.268 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.274 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.276 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.277 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.280 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 10.280 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 10.280 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.280 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.280 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.280 * [taylor]: Taking taylor expansion of 0.5 in k 10.280 * [backup-simplify]: Simplify 0.5 into 0.5 10.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.280 * [taylor]: Taking taylor expansion of 1.0 in k 10.280 * [backup-simplify]: Simplify 1.0 into 1.0 10.280 * [taylor]: Taking taylor expansion of k in k 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [taylor]: Taking taylor expansion of (log n) in k 10.280 * [taylor]: Taking taylor expansion of n in k 10.280 * [backup-simplify]: Simplify n into n 10.280 * [backup-simplify]: Simplify (log n) into (log n) 10.281 * [backup-simplify]: Simplify (- 0) into 0 10.281 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.281 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.281 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.281 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.281 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.281 * [taylor]: Taking taylor expansion of 0.5 in n 10.281 * [backup-simplify]: Simplify 0.5 into 0.5 10.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.281 * [taylor]: Taking taylor expansion of 1.0 in n 10.281 * [backup-simplify]: Simplify 1.0 into 1.0 10.281 * [taylor]: Taking taylor expansion of k in n 10.281 * [backup-simplify]: Simplify k into k 10.282 * [taylor]: Taking taylor expansion of (log n) in n 10.282 * [taylor]: Taking taylor expansion of n in n 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [backup-simplify]: Simplify (log 1) into 0 10.282 * [backup-simplify]: Simplify (- k) into (- k) 10.282 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.282 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.282 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.282 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.282 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.283 * [taylor]: Taking taylor expansion of 0.5 in n 10.283 * [backup-simplify]: Simplify 0.5 into 0.5 10.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.283 * [taylor]: Taking taylor expansion of 1.0 in n 10.283 * [backup-simplify]: Simplify 1.0 into 1.0 10.283 * [taylor]: Taking taylor expansion of k in n 10.283 * [backup-simplify]: Simplify k into k 10.283 * [taylor]: Taking taylor expansion of (log n) in n 10.283 * [taylor]: Taking taylor expansion of n in n 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (log 1) into 0 10.283 * [backup-simplify]: Simplify (- k) into (- k) 10.283 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.283 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.283 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.284 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 10.284 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 10.284 * [taylor]: Taking taylor expansion of 0.5 in k 10.284 * [backup-simplify]: Simplify 0.5 into 0.5 10.284 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 10.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.284 * [taylor]: Taking taylor expansion of 1.0 in k 10.284 * [backup-simplify]: Simplify 1.0 into 1.0 10.284 * [taylor]: Taking taylor expansion of k in k 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [taylor]: Taking taylor expansion of (log n) in k 10.284 * [taylor]: Taking taylor expansion of n in k 10.284 * [backup-simplify]: Simplify n into n 10.284 * [backup-simplify]: Simplify (log n) into (log n) 10.284 * [backup-simplify]: Simplify (- 0) into 0 10.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.284 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.285 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 10.285 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.285 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 10.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.286 * [backup-simplify]: Simplify (- 0) into 0 10.286 * [backup-simplify]: Simplify (+ 0 0) into 0 10.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 10.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.287 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 10.287 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.287 * [taylor]: Taking taylor expansion of 0 in k 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.288 * [backup-simplify]: Simplify (- 1) into -1 10.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 10.289 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 10.289 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.289 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.291 * [backup-simplify]: Simplify (- 0) into 0 10.292 * [backup-simplify]: Simplify (+ 0 0) into 0 10.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 10.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.293 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 10.294 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.294 * [taylor]: Taking taylor expansion of 0 in k 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.295 * [backup-simplify]: Simplify (- 0) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 10.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 10.297 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.297 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.298 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 10.298 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 10.298 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 10.298 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.298 * [taylor]: Taking taylor expansion of 0.5 in k 10.298 * [backup-simplify]: Simplify 0.5 into 0.5 10.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.299 * [taylor]: Taking taylor expansion of 1.0 in k 10.299 * [backup-simplify]: Simplify 1.0 into 1.0 10.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.299 * [taylor]: Taking taylor expansion of k in k 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify 1 into 1 10.299 * [backup-simplify]: Simplify (/ 1 1) into 1 10.299 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.299 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.299 * [taylor]: Taking taylor expansion of n in k 10.299 * [backup-simplify]: Simplify n into n 10.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.299 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.299 * [backup-simplify]: Simplify (- 1) into -1 10.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.300 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.300 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.300 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.300 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.300 * [taylor]: Taking taylor expansion of 0.5 in n 10.300 * [backup-simplify]: Simplify 0.5 into 0.5 10.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.300 * [taylor]: Taking taylor expansion of 1.0 in n 10.300 * [backup-simplify]: Simplify 1.0 into 1.0 10.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.300 * [taylor]: Taking taylor expansion of k in n 10.300 * [backup-simplify]: Simplify k into k 10.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.300 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.300 * [taylor]: Taking taylor expansion of n in n 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (/ 1 1) into 1 10.301 * [backup-simplify]: Simplify (log 1) into 0 10.301 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.301 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.301 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.302 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.302 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.302 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.302 * [taylor]: Taking taylor expansion of 0.5 in n 10.302 * [backup-simplify]: Simplify 0.5 into 0.5 10.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.302 * [taylor]: Taking taylor expansion of 1.0 in n 10.302 * [backup-simplify]: Simplify 1.0 into 1.0 10.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.302 * [taylor]: Taking taylor expansion of k in n 10.302 * [backup-simplify]: Simplify k into k 10.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.302 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.302 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.302 * [taylor]: Taking taylor expansion of n in n 10.302 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify 1 into 1 10.302 * [backup-simplify]: Simplify (/ 1 1) into 1 10.303 * [backup-simplify]: Simplify (log 1) into 0 10.303 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.303 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.303 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.303 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.303 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.303 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.303 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 10.303 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 10.303 * [taylor]: Taking taylor expansion of -0.5 in k 10.303 * [backup-simplify]: Simplify -0.5 into -0.5 10.303 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 10.303 * [taylor]: Taking taylor expansion of (log n) in k 10.303 * [taylor]: Taking taylor expansion of n in k 10.303 * [backup-simplify]: Simplify n into n 10.304 * [backup-simplify]: Simplify (log n) into (log n) 10.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.304 * [taylor]: Taking taylor expansion of 1.0 in k 10.304 * [backup-simplify]: Simplify 1.0 into 1.0 10.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.304 * [taylor]: Taking taylor expansion of k in k 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 1 into 1 10.304 * [backup-simplify]: Simplify (/ 1 1) into 1 10.304 * [backup-simplify]: Simplify (- 1) into -1 10.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.304 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 10.305 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 10.305 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.305 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.306 * [backup-simplify]: Simplify (- 0) into 0 10.307 * [backup-simplify]: Simplify (+ 0 0) into 0 10.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.307 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 10.308 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.308 * [taylor]: Taking taylor expansion of 0 in k 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.311 * [backup-simplify]: Simplify (- 0) into 0 10.312 * [backup-simplify]: Simplify (+ 0 0) into 0 10.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.313 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 10.314 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.314 * [taylor]: Taking taylor expansion of 0 in k 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.321 * [backup-simplify]: Simplify (- 0) into 0 10.322 * [backup-simplify]: Simplify (+ 0 0) into 0 10.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 10.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.332 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 10.333 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.333 * [taylor]: Taking taylor expansion of 0 in k 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 10.333 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 10.333 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 10.333 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.333 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.333 * [taylor]: Taking taylor expansion of 0.5 in k 10.333 * [backup-simplify]: Simplify 0.5 into 0.5 10.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.333 * [taylor]: Taking taylor expansion of k in k 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 1 into 1 10.334 * [backup-simplify]: Simplify (/ 1 1) into 1 10.334 * [taylor]: Taking taylor expansion of 1.0 in k 10.334 * [backup-simplify]: Simplify 1.0 into 1.0 10.334 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.334 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.334 * [taylor]: Taking taylor expansion of -1 in k 10.334 * [backup-simplify]: Simplify -1 into -1 10.334 * [taylor]: Taking taylor expansion of n in k 10.334 * [backup-simplify]: Simplify n into n 10.334 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.334 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.334 * [backup-simplify]: Simplify (+ 1 0) into 1 10.334 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.335 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.335 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.335 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.335 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.335 * [taylor]: Taking taylor expansion of 0.5 in n 10.335 * [backup-simplify]: Simplify 0.5 into 0.5 10.335 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.335 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.335 * [taylor]: Taking taylor expansion of k in n 10.335 * [backup-simplify]: Simplify k into k 10.335 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.335 * [taylor]: Taking taylor expansion of 1.0 in n 10.335 * [backup-simplify]: Simplify 1.0 into 1.0 10.335 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.335 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.335 * [taylor]: Taking taylor expansion of -1 in n 10.335 * [backup-simplify]: Simplify -1 into -1 10.335 * [taylor]: Taking taylor expansion of n in n 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 1 into 1 10.335 * [backup-simplify]: Simplify (/ -1 1) into -1 10.336 * [backup-simplify]: Simplify (log -1) into (log -1) 10.336 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.336 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.337 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.337 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.337 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.337 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.337 * [taylor]: Taking taylor expansion of 0.5 in n 10.337 * [backup-simplify]: Simplify 0.5 into 0.5 10.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.337 * [taylor]: Taking taylor expansion of k in n 10.337 * [backup-simplify]: Simplify k into k 10.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.337 * [taylor]: Taking taylor expansion of 1.0 in n 10.337 * [backup-simplify]: Simplify 1.0 into 1.0 10.337 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.337 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.337 * [taylor]: Taking taylor expansion of -1 in n 10.337 * [backup-simplify]: Simplify -1 into -1 10.337 * [taylor]: Taking taylor expansion of n in n 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 1 into 1 10.338 * [backup-simplify]: Simplify (/ -1 1) into -1 10.338 * [backup-simplify]: Simplify (log -1) into (log -1) 10.338 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.338 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.339 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.339 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 10.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 10.339 * [taylor]: Taking taylor expansion of 0.5 in k 10.339 * [backup-simplify]: Simplify 0.5 into 0.5 10.339 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 10.339 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 10.339 * [taylor]: Taking taylor expansion of (log -1) in k 10.339 * [taylor]: Taking taylor expansion of -1 in k 10.339 * [backup-simplify]: Simplify -1 into -1 10.340 * [backup-simplify]: Simplify (log -1) into (log -1) 10.340 * [taylor]: Taking taylor expansion of (log n) in k 10.340 * [taylor]: Taking taylor expansion of n in k 10.340 * [backup-simplify]: Simplify n into n 10.340 * [backup-simplify]: Simplify (log n) into (log n) 10.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.340 * [taylor]: Taking taylor expansion of k in k 10.340 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify 1 into 1 10.340 * [backup-simplify]: Simplify (/ 1 1) into 1 10.340 * [taylor]: Taking taylor expansion of 1.0 in k 10.340 * [backup-simplify]: Simplify 1.0 into 1.0 10.340 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 10.340 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 10.341 * [backup-simplify]: Simplify (+ 1 0) into 1 10.341 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 10.341 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 10.342 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.342 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.344 * [backup-simplify]: Simplify (+ 0 0) into 0 10.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.345 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 10.346 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.346 * [taylor]: Taking taylor expansion of 0 in k 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.348 * [backup-simplify]: Simplify (+ 0 0) into 0 10.349 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.350 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.351 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.351 * [taylor]: Taking taylor expansion of 0 in k 10.351 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.355 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 10.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.355 * [backup-simplify]: Simplify (+ 0 0) into 0 10.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 10.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.357 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 10.358 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.358 * [taylor]: Taking taylor expansion of 0 in k 10.358 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 10.359 * * * [progress]: simplifying candidates 10.361 * [simplify]: Simplifying: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 10.365 * * [simplify]: Extracting # 0 : cost 0 10.366 * * [simplify]: Extracting # 1 : cost 0 10.366 * * [simplify]: Extracting # 2 : cost 0 10.367 * * [simplify]: Extracting # 3 : cost 0 10.368 * * [simplify]: Extracting # 4 : cost 0 10.369 * * [simplify]: Extracting # 5 : cost 0 10.370 * * [simplify]: Extracting # 6 : cost 0 10.371 * * [simplify]: Extracting # 7 : cost 0 10.372 * * [simplify]: Extracting # 8 : cost 0 10.373 * * [simplify]: Extracting # 9 : cost 0 10.374 * * [simplify]: Extracting # 10 : cost 0 10.375 * * [simplify]: Extracting # 11 : cost 0 10.376 * * [simplify]: Extracting # 12 : cost 0 10.377 * * [simplify]: Extracting # 13 : cost 0 10.378 * * [simplify]: Extracting # 14 : cost 0 10.379 * * [simplify]: Extracting # 15 : cost 0 10.380 * * [simplify]: Extracting # 16 : cost 0 10.381 * * [simplify]: Extracting # 17 : cost 0 10.382 * * [simplify]: Extracting # 18 : cost 0 10.383 * * [simplify]: Extracting # 19 : cost 0 10.384 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 10.544 * * [simplify]: Extracting # 0 : cost 0 10.546 * * [simplify]: Extracting # 1 : cost 0 10.549 * * [simplify]: Extracting # 2 : cost 0 10.551 * * [simplify]: Extracting # 3 : cost 0 10.554 * * [simplify]: Extracting # 4 : cost 0 10.564 * * [simplify]: iteration 1 : 922 enodes (cost 2474 ) 11.188 * * [simplify]: Extracting # 0 : cost 0 11.196 * * [simplify]: Extracting # 1 : cost 0 11.207 * * [simplify]: Extracting # 2 : cost 0 11.214 * * [simplify]: Extracting # 3 : cost 0 11.219 * * [simplify]: Extracting # 4 : cost 0 11.225 * * [simplify]: iteration 2 : 3791 enodes (cost 2362 ) 12.517 * * [simplify]: Extracting # 0 : cost 0 12.530 * * [simplify]: Extracting # 1 : cost 0 12.536 * * [simplify]: Extracting # 2 : cost 0 12.544 * * [simplify]: iteration done: 5000 enodes (cost 2340 ) 12.545 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (pow (* PI 2.0) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) (sqrt k)) k) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (pow 1.0 3) (/ (* k (sqrt k)) (pow (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (fma k (- +nan.0) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (fma (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- +nan.0) (fma (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (* (pow k 2) (log (* 2.0 PI))) +nan.0) (fma +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (fma (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) +nan.0 (- (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))))) (fma +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow k 3))) (* (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow k 2)) (- +nan.0))) (fma (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow k 2))) +nan.0 (* +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))))) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 12.546 * * * [progress]: adding candidates to table 13.385 * * [progress]: iteration 4 / 4 13.385 * * * [progress]: picking best candidate 13.420 * * * * [pick]: Picked # 13.420 * * * [progress]: localizing error 13.473 * * * [progress]: generating rewritten candidates 13.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 13.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 13.501 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 13.620 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 13.636 * * * [progress]: generating series expansions 13.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 13.636 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 13.636 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 13.637 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 13.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 13.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 13.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.637 * [taylor]: Taking taylor expansion of 0.5 in k 13.637 * [backup-simplify]: Simplify 0.5 into 0.5 13.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.637 * [taylor]: Taking taylor expansion of 1.0 in k 13.637 * [backup-simplify]: Simplify 1.0 into 1.0 13.637 * [taylor]: Taking taylor expansion of k in k 13.637 * [backup-simplify]: Simplify 0 into 0 13.637 * [backup-simplify]: Simplify 1 into 1 13.637 * [taylor]: Taking taylor expansion of (log PI) in k 13.637 * [taylor]: Taking taylor expansion of PI in k 13.637 * [backup-simplify]: Simplify PI into PI 13.637 * [backup-simplify]: Simplify (log PI) into (log PI) 13.638 * [backup-simplify]: Simplify (- 0) into 0 13.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.638 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.639 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.640 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 13.640 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 13.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 13.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 13.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.640 * [taylor]: Taking taylor expansion of 0.5 in k 13.640 * [backup-simplify]: Simplify 0.5 into 0.5 13.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.640 * [taylor]: Taking taylor expansion of 1.0 in k 13.640 * [backup-simplify]: Simplify 1.0 into 1.0 13.640 * [taylor]: Taking taylor expansion of k in k 13.640 * [backup-simplify]: Simplify 0 into 0 13.640 * [backup-simplify]: Simplify 1 into 1 13.640 * [taylor]: Taking taylor expansion of (log PI) in k 13.640 * [taylor]: Taking taylor expansion of PI in k 13.640 * [backup-simplify]: Simplify PI into PI 13.640 * [backup-simplify]: Simplify (log PI) into (log PI) 13.641 * [backup-simplify]: Simplify (- 0) into 0 13.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.641 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.642 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.643 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 13.643 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 13.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 13.644 * [backup-simplify]: Simplify (- 1) into -1 13.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.645 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 13.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 13.652 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 13.655 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 13.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 13.657 * [backup-simplify]: Simplify (- 0) into 0 13.657 * [backup-simplify]: Simplify (+ 0 0) into 0 13.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 13.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 13.670 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 13.675 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 13.685 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 13.685 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 13.685 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 13.685 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.685 * [taylor]: Taking taylor expansion of 0.5 in k 13.685 * [backup-simplify]: Simplify 0.5 into 0.5 13.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.685 * [taylor]: Taking taylor expansion of 1.0 in k 13.685 * [backup-simplify]: Simplify 1.0 into 1.0 13.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.685 * [taylor]: Taking taylor expansion of k in k 13.685 * [backup-simplify]: Simplify 0 into 0 13.685 * [backup-simplify]: Simplify 1 into 1 13.686 * [backup-simplify]: Simplify (/ 1 1) into 1 13.686 * [taylor]: Taking taylor expansion of (log PI) in k 13.686 * [taylor]: Taking taylor expansion of PI in k 13.686 * [backup-simplify]: Simplify PI into PI 13.686 * [backup-simplify]: Simplify (log PI) into (log PI) 13.687 * [backup-simplify]: Simplify (- 1) into -1 13.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.688 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.689 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.084 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.084 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.084 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.084 * [taylor]: Taking taylor expansion of 0.5 in k 14.084 * [backup-simplify]: Simplify 0.5 into 0.5 14.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.084 * [taylor]: Taking taylor expansion of 1.0 in k 14.084 * [backup-simplify]: Simplify 1.0 into 1.0 14.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.084 * [taylor]: Taking taylor expansion of k in k 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 1 into 1 14.085 * [backup-simplify]: Simplify (/ 1 1) into 1 14.085 * [taylor]: Taking taylor expansion of (log PI) in k 14.085 * [taylor]: Taking taylor expansion of PI in k 14.085 * [backup-simplify]: Simplify PI into PI 14.085 * [backup-simplify]: Simplify (log PI) into (log PI) 14.086 * [backup-simplify]: Simplify (- 1) into -1 14.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.087 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.088 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.088 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.090 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.090 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 14.090 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 14.090 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.090 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.090 * [taylor]: Taking taylor expansion of 0.5 in k 14.090 * [backup-simplify]: Simplify 0.5 into 0.5 14.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.090 * [taylor]: Taking taylor expansion of k in k 14.091 * [backup-simplify]: Simplify 0 into 0 14.091 * [backup-simplify]: Simplify 1 into 1 14.091 * [backup-simplify]: Simplify (/ 1 1) into 1 14.091 * [taylor]: Taking taylor expansion of 1.0 in k 14.091 * [backup-simplify]: Simplify 1.0 into 1.0 14.091 * [taylor]: Taking taylor expansion of (log PI) in k 14.091 * [taylor]: Taking taylor expansion of PI in k 14.091 * [backup-simplify]: Simplify PI into PI 14.092 * [backup-simplify]: Simplify (log PI) into (log PI) 14.092 * [backup-simplify]: Simplify (+ 1 0) into 1 14.092 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.096 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.097 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.097 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.097 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.097 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.097 * [taylor]: Taking taylor expansion of 0.5 in k 14.097 * [backup-simplify]: Simplify 0.5 into 0.5 14.097 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.097 * [taylor]: Taking taylor expansion of k in k 14.097 * [backup-simplify]: Simplify 0 into 0 14.098 * [backup-simplify]: Simplify 1 into 1 14.098 * [backup-simplify]: Simplify (/ 1 1) into 1 14.098 * [taylor]: Taking taylor expansion of 1.0 in k 14.098 * [backup-simplify]: Simplify 1.0 into 1.0 14.098 * [taylor]: Taking taylor expansion of (log PI) in k 14.098 * [taylor]: Taking taylor expansion of PI in k 14.098 * [backup-simplify]: Simplify PI into PI 14.099 * [backup-simplify]: Simplify (log PI) into (log PI) 14.099 * [backup-simplify]: Simplify (+ 1 0) into 1 14.099 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.100 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.101 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.102 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.102 * [backup-simplify]: Simplify 0 into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.103 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 14.103 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.103 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.103 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.103 * [taylor]: Taking taylor expansion of 1.0 in k 14.103 * [backup-simplify]: Simplify 1.0 into 1.0 14.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.103 * [taylor]: Taking taylor expansion of k in k 14.103 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify 1 into 1 14.104 * [backup-simplify]: Simplify (/ 1 1) into 1 14.104 * [backup-simplify]: Simplify (sqrt 0) into 0 14.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.105 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.105 * [taylor]: Taking taylor expansion of 1.0 in k 14.105 * [backup-simplify]: Simplify 1.0 into 1.0 14.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.106 * [taylor]: Taking taylor expansion of k in k 14.106 * [backup-simplify]: Simplify 0 into 0 14.106 * [backup-simplify]: Simplify 1 into 1 14.106 * [backup-simplify]: Simplify (/ 1 1) into 1 14.106 * [backup-simplify]: Simplify (sqrt 0) into 0 14.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.107 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.107 * [backup-simplify]: Simplify 0 into 0 14.108 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.108 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.111 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.112 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.112 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.116 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.117 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 14.117 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.118 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.118 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.118 * [taylor]: Taking taylor expansion of 1.0 in k 14.118 * [backup-simplify]: Simplify 1.0 into 1.0 14.118 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.118 * [taylor]: Taking taylor expansion of k in k 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (sqrt 0) into 0 14.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.119 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.119 * [taylor]: Taking taylor expansion of 1.0 in k 14.119 * [backup-simplify]: Simplify 1.0 into 1.0 14.119 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.119 * [taylor]: Taking taylor expansion of k in k 14.119 * [backup-simplify]: Simplify 0 into 0 14.119 * [backup-simplify]: Simplify 1 into 1 14.119 * [backup-simplify]: Simplify (sqrt 0) into 0 14.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.120 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.120 * [backup-simplify]: Simplify 0 into 0 14.121 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.121 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.124 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.128 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.128 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.129 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 14.130 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.130 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.130 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.130 * [taylor]: Taking taylor expansion of 1.0 in k 14.130 * [backup-simplify]: Simplify 1.0 into 1.0 14.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.130 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.130 * [taylor]: Taking taylor expansion of -1 in k 14.130 * [backup-simplify]: Simplify -1 into -1 14.130 * [taylor]: Taking taylor expansion of k in k 14.130 * [backup-simplify]: Simplify 0 into 0 14.130 * [backup-simplify]: Simplify 1 into 1 14.130 * [backup-simplify]: Simplify (/ -1 1) into -1 14.130 * [backup-simplify]: Simplify (sqrt 0) into 0 14.131 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.131 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.131 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.131 * [taylor]: Taking taylor expansion of 1.0 in k 14.131 * [backup-simplify]: Simplify 1.0 into 1.0 14.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.131 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.131 * [taylor]: Taking taylor expansion of -1 in k 14.131 * [backup-simplify]: Simplify -1 into -1 14.131 * [taylor]: Taking taylor expansion of k in k 14.132 * [backup-simplify]: Simplify 0 into 0 14.132 * [backup-simplify]: Simplify 1 into 1 14.132 * [backup-simplify]: Simplify (/ -1 1) into -1 14.132 * [backup-simplify]: Simplify (sqrt 0) into 0 14.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.133 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.139 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 14.140 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.149 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 14.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.151 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 14.151 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 14.151 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 14.151 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 14.151 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 14.152 * [taylor]: Taking taylor expansion of 1.0 in k 14.152 * [backup-simplify]: Simplify 1.0 into 1.0 14.152 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 14.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.152 * [taylor]: Taking taylor expansion of k in k 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify 1 into 1 14.152 * [backup-simplify]: Simplify (/ 1 1) into 1 14.153 * [backup-simplify]: Simplify (sqrt 0) into 0 14.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.154 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 14.154 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.154 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.154 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.154 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.154 * [taylor]: Taking taylor expansion of 0.5 in k 14.154 * [backup-simplify]: Simplify 0.5 into 0.5 14.154 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.154 * [taylor]: Taking taylor expansion of 1.0 in k 14.154 * [backup-simplify]: Simplify 1.0 into 1.0 14.155 * [taylor]: Taking taylor expansion of k in k 14.155 * [backup-simplify]: Simplify 0 into 0 14.155 * [backup-simplify]: Simplify 1 into 1 14.155 * [taylor]: Taking taylor expansion of (log PI) in k 14.155 * [taylor]: Taking taylor expansion of PI in k 14.155 * [backup-simplify]: Simplify PI into PI 14.155 * [backup-simplify]: Simplify (log PI) into (log PI) 14.156 * [backup-simplify]: Simplify (- 0) into 0 14.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.156 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.157 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.159 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.159 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.159 * [taylor]: Taking taylor expansion of 0.5 in k 14.159 * [backup-simplify]: Simplify 0.5 into 0.5 14.159 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.159 * [taylor]: Taking taylor expansion of 1.0 in k 14.160 * [backup-simplify]: Simplify 1.0 into 1.0 14.160 * [taylor]: Taking taylor expansion of k in k 14.160 * [backup-simplify]: Simplify 0 into 0 14.160 * [backup-simplify]: Simplify 1 into 1 14.160 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.160 * [taylor]: Taking taylor expansion of 2.0 in k 14.160 * [backup-simplify]: Simplify 2.0 into 2.0 14.160 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.161 * [backup-simplify]: Simplify (- 0) into 0 14.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.162 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.163 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.164 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.164 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 14.164 * [taylor]: Taking taylor expansion of 1.0 in k 14.164 * [backup-simplify]: Simplify 1.0 into 1.0 14.164 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 14.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.164 * [taylor]: Taking taylor expansion of k in k 14.164 * [backup-simplify]: Simplify 0 into 0 14.164 * [backup-simplify]: Simplify 1 into 1 14.165 * [backup-simplify]: Simplify (/ 1 1) into 1 14.165 * [backup-simplify]: Simplify (sqrt 0) into 0 14.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.167 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 14.167 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.167 * [taylor]: Taking taylor expansion of 0.5 in k 14.167 * [backup-simplify]: Simplify 0.5 into 0.5 14.167 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.167 * [taylor]: Taking taylor expansion of 1.0 in k 14.167 * [backup-simplify]: Simplify 1.0 into 1.0 14.167 * [taylor]: Taking taylor expansion of k in k 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 1 into 1 14.167 * [taylor]: Taking taylor expansion of (log PI) in k 14.167 * [taylor]: Taking taylor expansion of PI in k 14.167 * [backup-simplify]: Simplify PI into PI 14.167 * [backup-simplify]: Simplify (log PI) into (log PI) 14.168 * [backup-simplify]: Simplify (- 0) into 0 14.168 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.169 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.170 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.172 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.172 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.172 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.172 * [taylor]: Taking taylor expansion of 0.5 in k 14.172 * [backup-simplify]: Simplify 0.5 into 0.5 14.172 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.172 * [taylor]: Taking taylor expansion of 1.0 in k 14.172 * [backup-simplify]: Simplify 1.0 into 1.0 14.172 * [taylor]: Taking taylor expansion of k in k 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify 1 into 1 14.172 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.172 * [taylor]: Taking taylor expansion of 2.0 in k 14.172 * [backup-simplify]: Simplify 2.0 into 2.0 14.172 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.173 * [backup-simplify]: Simplify (- 0) into 0 14.173 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.174 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.175 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.176 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.178 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 14.180 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 14.180 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.180 * [backup-simplify]: Simplify 0 into 0 14.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 14.182 * [backup-simplify]: Simplify (- 1) into -1 14.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.185 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 14.197 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 14.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 14.199 * [backup-simplify]: Simplify (- 1) into -1 14.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.201 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 14.214 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 14.238 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 14.250 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.259 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 14.263 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 14.265 * [backup-simplify]: Simplify (- 0) into 0 14.265 * [backup-simplify]: Simplify (+ 0 0) into 0 14.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 14.272 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 14.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 14.274 * [backup-simplify]: Simplify (- 0) into 0 14.275 * [backup-simplify]: Simplify (+ 0 0) into 0 14.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 14.283 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 14.310 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 14.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.340 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 14.367 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 14.391 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 14.396 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 14.397 * [backup-simplify]: Simplify (- 0) into 0 14.397 * [backup-simplify]: Simplify (+ 0 0) into 0 14.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 14.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 14.417 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 14.423 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 14.423 * [backup-simplify]: Simplify (- 0) into 0 14.424 * [backup-simplify]: Simplify (+ 0 0) into 0 14.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 14.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 14.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 14.482 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 14.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.554 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 14.666 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 14.746 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 14.859 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 14.860 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 14.860 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 14.860 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 14.860 * [taylor]: Taking taylor expansion of 1.0 in k 14.860 * [backup-simplify]: Simplify 1.0 into 1.0 14.860 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 14.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.860 * [taylor]: Taking taylor expansion of k in k 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.861 * [backup-simplify]: Simplify (sqrt 0) into 0 14.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.862 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 14.862 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 14.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 14.862 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 14.862 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.862 * [taylor]: Taking taylor expansion of 0.5 in k 14.862 * [backup-simplify]: Simplify 0.5 into 0.5 14.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.863 * [taylor]: Taking taylor expansion of 1.0 in k 14.863 * [backup-simplify]: Simplify 1.0 into 1.0 14.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.863 * [taylor]: Taking taylor expansion of k in k 14.863 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify 1 into 1 14.863 * [backup-simplify]: Simplify (/ 1 1) into 1 14.863 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.863 * [taylor]: Taking taylor expansion of 2.0 in k 14.863 * [backup-simplify]: Simplify 2.0 into 2.0 14.864 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.864 * [backup-simplify]: Simplify (- 1) into -1 14.864 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.865 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.866 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 14.867 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 14.867 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.867 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.867 * [taylor]: Taking taylor expansion of 0.5 in k 14.867 * [backup-simplify]: Simplify 0.5 into 0.5 14.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.867 * [taylor]: Taking taylor expansion of 1.0 in k 14.867 * [backup-simplify]: Simplify 1.0 into 1.0 14.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.867 * [taylor]: Taking taylor expansion of k in k 14.867 * [backup-simplify]: Simplify 0 into 0 14.867 * [backup-simplify]: Simplify 1 into 1 14.867 * [backup-simplify]: Simplify (/ 1 1) into 1 14.867 * [taylor]: Taking taylor expansion of (log PI) in k 14.868 * [taylor]: Taking taylor expansion of PI in k 14.868 * [backup-simplify]: Simplify PI into PI 14.868 * [backup-simplify]: Simplify (log PI) into (log PI) 14.868 * [backup-simplify]: Simplify (- 1) into -1 14.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.869 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.870 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.871 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.871 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 14.871 * [taylor]: Taking taylor expansion of 1.0 in k 14.871 * [backup-simplify]: Simplify 1.0 into 1.0 14.871 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 14.871 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.871 * [taylor]: Taking taylor expansion of k in k 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [backup-simplify]: Simplify 1 into 1 14.871 * [backup-simplify]: Simplify (sqrt 0) into 0 14.872 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.872 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 14.872 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 14.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 14.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 14.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.872 * [taylor]: Taking taylor expansion of 0.5 in k 14.872 * [backup-simplify]: Simplify 0.5 into 0.5 14.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.872 * [taylor]: Taking taylor expansion of 1.0 in k 14.872 * [backup-simplify]: Simplify 1.0 into 1.0 14.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.872 * [taylor]: Taking taylor expansion of k in k 14.872 * [backup-simplify]: Simplify 0 into 0 14.872 * [backup-simplify]: Simplify 1 into 1 14.872 * [backup-simplify]: Simplify (/ 1 1) into 1 14.872 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.873 * [taylor]: Taking taylor expansion of 2.0 in k 14.873 * [backup-simplify]: Simplify 2.0 into 2.0 14.873 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.873 * [backup-simplify]: Simplify (- 1) into -1 14.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.874 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.874 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 14.874 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 14.874 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.875 * [taylor]: Taking taylor expansion of 0.5 in k 14.875 * [backup-simplify]: Simplify 0.5 into 0.5 14.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.875 * [taylor]: Taking taylor expansion of 1.0 in k 14.875 * [backup-simplify]: Simplify 1.0 into 1.0 14.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.875 * [taylor]: Taking taylor expansion of k in k 14.875 * [backup-simplify]: Simplify 0 into 0 14.875 * [backup-simplify]: Simplify 1 into 1 14.875 * [backup-simplify]: Simplify (/ 1 1) into 1 14.875 * [taylor]: Taking taylor expansion of (log PI) in k 14.875 * [taylor]: Taking taylor expansion of PI in k 14.875 * [backup-simplify]: Simplify PI into PI 14.875 * [backup-simplify]: Simplify (log PI) into (log PI) 14.875 * [backup-simplify]: Simplify (- 1) into -1 14.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.876 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.877 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.877 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.878 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 14.879 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 14.879 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.879 * [backup-simplify]: Simplify 0 into 0 14.880 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 14.880 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.881 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.882 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.883 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 14.885 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.888 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.888 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.890 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 14.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.896 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.896 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 14.899 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 14.900 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 14.900 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 14.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 14.900 * [taylor]: Taking taylor expansion of 1.0 in k 14.900 * [backup-simplify]: Simplify 1.0 into 1.0 14.900 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 14.900 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 14.900 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 14.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 14.900 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 14.900 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.900 * [taylor]: Taking taylor expansion of 0.5 in k 14.900 * [backup-simplify]: Simplify 0.5 into 0.5 14.900 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.900 * [taylor]: Taking taylor expansion of k in k 14.900 * [backup-simplify]: Simplify 0 into 0 14.900 * [backup-simplify]: Simplify 1 into 1 14.900 * [backup-simplify]: Simplify (/ 1 1) into 1 14.900 * [taylor]: Taking taylor expansion of 1.0 in k 14.900 * [backup-simplify]: Simplify 1.0 into 1.0 14.900 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.900 * [taylor]: Taking taylor expansion of 2.0 in k 14.900 * [backup-simplify]: Simplify 2.0 into 2.0 14.901 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.901 * [backup-simplify]: Simplify (+ 1 0) into 1 14.901 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.902 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.903 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 14.903 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.903 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.903 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.903 * [taylor]: Taking taylor expansion of 0.5 in k 14.903 * [backup-simplify]: Simplify 0.5 into 0.5 14.903 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.903 * [taylor]: Taking taylor expansion of k in k 14.903 * [backup-simplify]: Simplify 0 into 0 14.903 * [backup-simplify]: Simplify 1 into 1 14.903 * [backup-simplify]: Simplify (/ 1 1) into 1 14.903 * [taylor]: Taking taylor expansion of 1.0 in k 14.903 * [backup-simplify]: Simplify 1.0 into 1.0 14.903 * [taylor]: Taking taylor expansion of (log PI) in k 14.903 * [taylor]: Taking taylor expansion of PI in k 14.903 * [backup-simplify]: Simplify PI into PI 14.904 * [backup-simplify]: Simplify (log PI) into (log PI) 14.904 * [backup-simplify]: Simplify (+ 1 0) into 1 14.905 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.906 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.906 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.906 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.906 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.906 * [taylor]: Taking taylor expansion of -1 in k 14.907 * [backup-simplify]: Simplify -1 into -1 14.907 * [taylor]: Taking taylor expansion of k in k 14.907 * [backup-simplify]: Simplify 0 into 0 14.907 * [backup-simplify]: Simplify 1 into 1 14.907 * [backup-simplify]: Simplify (/ -1 1) into -1 14.907 * [backup-simplify]: Simplify (sqrt 0) into 0 14.909 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.910 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.911 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 14.911 * [taylor]: Taking taylor expansion of 1.0 in k 14.911 * [backup-simplify]: Simplify 1.0 into 1.0 14.911 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 14.911 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 14.911 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 14.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 14.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 14.912 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.912 * [taylor]: Taking taylor expansion of 0.5 in k 14.912 * [backup-simplify]: Simplify 0.5 into 0.5 14.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.912 * [taylor]: Taking taylor expansion of k in k 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 1 into 1 14.912 * [backup-simplify]: Simplify (/ 1 1) into 1 14.912 * [taylor]: Taking taylor expansion of 1.0 in k 14.912 * [backup-simplify]: Simplify 1.0 into 1.0 14.912 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.912 * [taylor]: Taking taylor expansion of 2.0 in k 14.912 * [backup-simplify]: Simplify 2.0 into 2.0 14.913 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.913 * [backup-simplify]: Simplify (+ 1 0) into 1 14.922 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.923 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.924 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 14.924 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.924 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.924 * [taylor]: Taking taylor expansion of 0.5 in k 14.924 * [backup-simplify]: Simplify 0.5 into 0.5 14.924 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.924 * [taylor]: Taking taylor expansion of k in k 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 1 into 1 14.925 * [backup-simplify]: Simplify (/ 1 1) into 1 14.925 * [taylor]: Taking taylor expansion of 1.0 in k 14.925 * [backup-simplify]: Simplify 1.0 into 1.0 14.925 * [taylor]: Taking taylor expansion of (log PI) in k 14.925 * [taylor]: Taking taylor expansion of PI in k 14.925 * [backup-simplify]: Simplify PI into PI 14.925 * [backup-simplify]: Simplify (log PI) into (log PI) 14.926 * [backup-simplify]: Simplify (+ 1 0) into 1 14.926 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.927 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.928 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.928 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.928 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.928 * [taylor]: Taking taylor expansion of -1 in k 14.928 * [backup-simplify]: Simplify -1 into -1 14.928 * [taylor]: Taking taylor expansion of k in k 14.928 * [backup-simplify]: Simplify 0 into 0 14.928 * [backup-simplify]: Simplify 1 into 1 14.929 * [backup-simplify]: Simplify (/ -1 1) into -1 14.929 * [backup-simplify]: Simplify (sqrt 0) into 0 14.930 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.931 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.932 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.932 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.933 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.934 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 14.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.936 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.937 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.939 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.939 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.940 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 14.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.945 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.947 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.948 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 14.951 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 14.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 14.951 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 14.951 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 14.951 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 14.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 14.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 14.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.951 * [taylor]: Taking taylor expansion of 0.5 in k 14.951 * [backup-simplify]: Simplify 0.5 into 0.5 14.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.951 * [taylor]: Taking taylor expansion of 1.0 in k 14.951 * [backup-simplify]: Simplify 1.0 into 1.0 14.951 * [taylor]: Taking taylor expansion of k in k 14.951 * [backup-simplify]: Simplify 0 into 0 14.951 * [backup-simplify]: Simplify 1 into 1 14.951 * [taylor]: Taking taylor expansion of (log n) in k 14.951 * [taylor]: Taking taylor expansion of n in k 14.951 * [backup-simplify]: Simplify n into n 14.951 * [backup-simplify]: Simplify (log n) into (log n) 14.952 * [backup-simplify]: Simplify (- 0) into 0 14.952 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.952 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.952 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 14.952 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.952 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.952 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.952 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.952 * [taylor]: Taking taylor expansion of 0.5 in n 14.952 * [backup-simplify]: Simplify 0.5 into 0.5 14.952 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.953 * [taylor]: Taking taylor expansion of 1.0 in n 14.953 * [backup-simplify]: Simplify 1.0 into 1.0 14.953 * [taylor]: Taking taylor expansion of k in n 14.953 * [backup-simplify]: Simplify k into k 14.953 * [taylor]: Taking taylor expansion of (log n) in n 14.953 * [taylor]: Taking taylor expansion of n in n 14.953 * [backup-simplify]: Simplify 0 into 0 14.953 * [backup-simplify]: Simplify 1 into 1 14.953 * [backup-simplify]: Simplify (log 1) into 0 14.953 * [backup-simplify]: Simplify (- k) into (- k) 14.953 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.953 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.953 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.953 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.953 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.953 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.954 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.954 * [taylor]: Taking taylor expansion of 0.5 in n 14.954 * [backup-simplify]: Simplify 0.5 into 0.5 14.954 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.954 * [taylor]: Taking taylor expansion of 1.0 in n 14.954 * [backup-simplify]: Simplify 1.0 into 1.0 14.954 * [taylor]: Taking taylor expansion of k in n 14.954 * [backup-simplify]: Simplify k into k 14.954 * [taylor]: Taking taylor expansion of (log n) in n 14.954 * [taylor]: Taking taylor expansion of n in n 14.954 * [backup-simplify]: Simplify 0 into 0 14.954 * [backup-simplify]: Simplify 1 into 1 14.954 * [backup-simplify]: Simplify (log 1) into 0 14.954 * [backup-simplify]: Simplify (- k) into (- k) 14.954 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.954 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.954 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.955 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 14.955 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 14.955 * [taylor]: Taking taylor expansion of 0.5 in k 14.955 * [backup-simplify]: Simplify 0.5 into 0.5 14.955 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 14.955 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.955 * [taylor]: Taking taylor expansion of 1.0 in k 14.955 * [backup-simplify]: Simplify 1.0 into 1.0 14.955 * [taylor]: Taking taylor expansion of k in k 14.955 * [backup-simplify]: Simplify 0 into 0 14.955 * [backup-simplify]: Simplify 1 into 1 14.955 * [taylor]: Taking taylor expansion of (log n) in k 14.955 * [taylor]: Taking taylor expansion of n in k 14.955 * [backup-simplify]: Simplify n into n 14.955 * [backup-simplify]: Simplify (log n) into (log n) 14.955 * [backup-simplify]: Simplify (- 0) into 0 14.955 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.955 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.956 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 14.956 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.956 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 14.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.957 * [backup-simplify]: Simplify (- 0) into 0 14.957 * [backup-simplify]: Simplify (+ 0 0) into 0 14.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 14.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.958 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 14.958 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.958 * [taylor]: Taking taylor expansion of 0 in k 14.958 * [backup-simplify]: Simplify 0 into 0 14.958 * [backup-simplify]: Simplify 0 into 0 14.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.959 * [backup-simplify]: Simplify (- 1) into -1 14.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.960 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 14.960 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 14.960 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.961 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.963 * [backup-simplify]: Simplify (- 0) into 0 14.963 * [backup-simplify]: Simplify (+ 0 0) into 0 14.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 14.965 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.965 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 14.967 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.967 * [taylor]: Taking taylor expansion of 0 in k 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.969 * [backup-simplify]: Simplify (- 0) into 0 14.969 * [backup-simplify]: Simplify (+ 0 0) into 0 14.970 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 14.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 14.972 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.973 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.974 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 14.974 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 14.974 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 14.974 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 14.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 14.974 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.974 * [taylor]: Taking taylor expansion of 0.5 in k 14.974 * [backup-simplify]: Simplify 0.5 into 0.5 14.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.975 * [taylor]: Taking taylor expansion of 1.0 in k 14.975 * [backup-simplify]: Simplify 1.0 into 1.0 14.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.975 * [taylor]: Taking taylor expansion of k in k 14.975 * [backup-simplify]: Simplify 0 into 0 14.975 * [backup-simplify]: Simplify 1 into 1 14.975 * [backup-simplify]: Simplify (/ 1 1) into 1 14.975 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.975 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.975 * [taylor]: Taking taylor expansion of n in k 14.975 * [backup-simplify]: Simplify n into n 14.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.975 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.976 * [backup-simplify]: Simplify (- 1) into -1 14.976 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.977 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.977 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.977 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 14.977 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.977 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.977 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.977 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.977 * [taylor]: Taking taylor expansion of 0.5 in n 14.977 * [backup-simplify]: Simplify 0.5 into 0.5 14.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.977 * [taylor]: Taking taylor expansion of 1.0 in n 14.977 * [backup-simplify]: Simplify 1.0 into 1.0 14.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.977 * [taylor]: Taking taylor expansion of k in n 14.977 * [backup-simplify]: Simplify k into k 14.978 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.978 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.978 * [taylor]: Taking taylor expansion of n in n 14.978 * [backup-simplify]: Simplify 0 into 0 14.978 * [backup-simplify]: Simplify 1 into 1 14.978 * [backup-simplify]: Simplify (/ 1 1) into 1 14.978 * [backup-simplify]: Simplify (log 1) into 0 14.979 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.979 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.979 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.979 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.980 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.980 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.980 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.980 * [taylor]: Taking taylor expansion of 0.5 in n 14.980 * [backup-simplify]: Simplify 0.5 into 0.5 14.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.980 * [taylor]: Taking taylor expansion of 1.0 in n 14.980 * [backup-simplify]: Simplify 1.0 into 1.0 14.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.980 * [taylor]: Taking taylor expansion of k in n 14.980 * [backup-simplify]: Simplify k into k 14.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.980 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.980 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.980 * [taylor]: Taking taylor expansion of n in n 14.980 * [backup-simplify]: Simplify 0 into 0 14.980 * [backup-simplify]: Simplify 1 into 1 14.981 * [backup-simplify]: Simplify (/ 1 1) into 1 14.981 * [backup-simplify]: Simplify (log 1) into 0 14.981 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.981 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.981 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.982 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.982 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.982 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.982 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 14.983 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 14.983 * [taylor]: Taking taylor expansion of -0.5 in k 14.983 * [backup-simplify]: Simplify -0.5 into -0.5 14.983 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 14.983 * [taylor]: Taking taylor expansion of (log n) in k 14.983 * [taylor]: Taking taylor expansion of n in k 14.983 * [backup-simplify]: Simplify n into n 14.983 * [backup-simplify]: Simplify (log n) into (log n) 14.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.983 * [taylor]: Taking taylor expansion of 1.0 in k 14.983 * [backup-simplify]: Simplify 1.0 into 1.0 14.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.983 * [taylor]: Taking taylor expansion of k in k 14.983 * [backup-simplify]: Simplify 0 into 0 14.983 * [backup-simplify]: Simplify 1 into 1 14.983 * [backup-simplify]: Simplify (/ 1 1) into 1 14.984 * [backup-simplify]: Simplify (- 1) into -1 14.984 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.984 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 14.984 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 14.985 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.985 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.988 * [backup-simplify]: Simplify (- 0) into 0 14.988 * [backup-simplify]: Simplify (+ 0 0) into 0 14.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 14.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.989 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 14.990 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.990 * [taylor]: Taking taylor expansion of 0 in k 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.995 * [backup-simplify]: Simplify (- 0) into 0 14.996 * [backup-simplify]: Simplify (+ 0 0) into 0 14.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 14.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.997 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 14.999 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.999 * [taylor]: Taking taylor expansion of 0 in k 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 0 into 0 15.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.005 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.006 * [backup-simplify]: Simplify (- 0) into 0 15.007 * [backup-simplify]: Simplify (+ 0 0) into 0 15.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.011 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.011 * [taylor]: Taking taylor expansion of 0 in k 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.012 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.012 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.012 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.012 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.012 * [taylor]: Taking taylor expansion of 0.5 in k 15.012 * [backup-simplify]: Simplify 0.5 into 0.5 15.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.013 * [taylor]: Taking taylor expansion of k in k 15.013 * [backup-simplify]: Simplify 0 into 0 15.013 * [backup-simplify]: Simplify 1 into 1 15.013 * [backup-simplify]: Simplify (/ 1 1) into 1 15.013 * [taylor]: Taking taylor expansion of 1.0 in k 15.013 * [backup-simplify]: Simplify 1.0 into 1.0 15.013 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.013 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.013 * [taylor]: Taking taylor expansion of -1 in k 15.013 * [backup-simplify]: Simplify -1 into -1 15.013 * [taylor]: Taking taylor expansion of n in k 15.013 * [backup-simplify]: Simplify n into n 15.013 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.013 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.014 * [backup-simplify]: Simplify (+ 1 0) into 1 15.014 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.014 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.015 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.015 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.015 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.015 * [taylor]: Taking taylor expansion of 0.5 in n 15.015 * [backup-simplify]: Simplify 0.5 into 0.5 15.015 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.015 * [taylor]: Taking taylor expansion of k in n 15.015 * [backup-simplify]: Simplify k into k 15.015 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.015 * [taylor]: Taking taylor expansion of 1.0 in n 15.015 * [backup-simplify]: Simplify 1.0 into 1.0 15.015 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.015 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.015 * [taylor]: Taking taylor expansion of -1 in n 15.015 * [backup-simplify]: Simplify -1 into -1 15.015 * [taylor]: Taking taylor expansion of n in n 15.015 * [backup-simplify]: Simplify 0 into 0 15.015 * [backup-simplify]: Simplify 1 into 1 15.016 * [backup-simplify]: Simplify (/ -1 1) into -1 15.016 * [backup-simplify]: Simplify (log -1) into (log -1) 15.016 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.016 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.018 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.019 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.019 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.019 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.019 * [taylor]: Taking taylor expansion of 0.5 in n 15.019 * [backup-simplify]: Simplify 0.5 into 0.5 15.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.019 * [taylor]: Taking taylor expansion of k in n 15.019 * [backup-simplify]: Simplify k into k 15.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.019 * [taylor]: Taking taylor expansion of 1.0 in n 15.019 * [backup-simplify]: Simplify 1.0 into 1.0 15.019 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.019 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.019 * [taylor]: Taking taylor expansion of -1 in n 15.020 * [backup-simplify]: Simplify -1 into -1 15.020 * [taylor]: Taking taylor expansion of n in n 15.020 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify 1 into 1 15.020 * [backup-simplify]: Simplify (/ -1 1) into -1 15.020 * [backup-simplify]: Simplify (log -1) into (log -1) 15.021 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.021 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.022 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.023 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.023 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.023 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.023 * [taylor]: Taking taylor expansion of 0.5 in k 15.023 * [backup-simplify]: Simplify 0.5 into 0.5 15.023 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.023 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.023 * [taylor]: Taking taylor expansion of (log -1) in k 15.023 * [taylor]: Taking taylor expansion of -1 in k 15.023 * [backup-simplify]: Simplify -1 into -1 15.023 * [backup-simplify]: Simplify (log -1) into (log -1) 15.024 * [taylor]: Taking taylor expansion of (log n) in k 15.024 * [taylor]: Taking taylor expansion of n in k 15.024 * [backup-simplify]: Simplify n into n 15.024 * [backup-simplify]: Simplify (log n) into (log n) 15.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.024 * [taylor]: Taking taylor expansion of k in k 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify 1 into 1 15.024 * [backup-simplify]: Simplify (/ 1 1) into 1 15.024 * [taylor]: Taking taylor expansion of 1.0 in k 15.024 * [backup-simplify]: Simplify 1.0 into 1.0 15.024 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.025 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.025 * [backup-simplify]: Simplify (+ 1 0) into 1 15.026 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.026 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.030 * [backup-simplify]: Simplify (+ 0 0) into 0 15.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.032 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.034 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.034 * [taylor]: Taking taylor expansion of 0 in k 15.034 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify 0 into 0 15.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.039 * [backup-simplify]: Simplify (+ 0 0) into 0 15.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.041 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.043 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.043 * [taylor]: Taking taylor expansion of 0 in k 15.043 * [backup-simplify]: Simplify 0 into 0 15.043 * [backup-simplify]: Simplify 0 into 0 15.043 * [backup-simplify]: Simplify 0 into 0 15.043 * [backup-simplify]: Simplify 0 into 0 15.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.046 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 15.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.047 * [backup-simplify]: Simplify (+ 0 0) into 0 15.048 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.049 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.050 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.050 * [taylor]: Taking taylor expansion of 0 in k 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.056 * * * [progress]: simplifying candidates 15.059 * [simplify]: Simplifying: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.064 * * [simplify]: Extracting # 0 : cost 0 15.064 * * [simplify]: Extracting # 1 : cost 0 15.065 * * [simplify]: Extracting # 2 : cost 0 15.065 * * [simplify]: Extracting # 3 : cost 0 15.066 * * [simplify]: Extracting # 4 : cost 0 15.067 * * [simplify]: Extracting # 5 : cost 0 15.067 * * [simplify]: Extracting # 6 : cost 0 15.068 * * [simplify]: Extracting # 7 : cost 0 15.069 * * [simplify]: Extracting # 8 : cost 0 15.069 * * [simplify]: Extracting # 9 : cost 0 15.070 * * [simplify]: Extracting # 10 : cost 0 15.071 * * [simplify]: Extracting # 11 : cost 0 15.072 * * [simplify]: Extracting # 12 : cost 0 15.072 * * [simplify]: Extracting # 13 : cost 0 15.073 * * [simplify]: Extracting # 14 : cost 0 15.074 * * [simplify]: Extracting # 15 : cost 0 15.074 * * [simplify]: Extracting # 16 : cost 0 15.075 * * [simplify]: Extracting # 17 : cost 0 15.076 * * [simplify]: Extracting # 18 : cost 0 15.076 * * [simplify]: Extracting # 19 : cost 0 15.077 * * [simplify]: Extracting # 20 : cost 0 15.078 * * [simplify]: Extracting # 21 : cost 0 15.079 * * [simplify]: Extracting # 22 : cost 0 15.080 * * [simplify]: Extracting # 23 : cost 0 15.081 * * [simplify]: Extracting # 24 : cost 0 15.082 * * [simplify]: Extracting # 25 : cost 0 15.084 * * [simplify]: Extracting # 26 : cost 0 15.085 * * [simplify]: Extracting # 27 : cost 0 15.086 * * [simplify]: Extracting # 28 : cost 0 15.087 * * [simplify]: Extracting # 29 : cost 0 15.089 * * [simplify]: Extracting # 30 : cost 0 15.090 * * [simplify]: Extracting # 31 : cost 0 15.091 * * [simplify]: Extracting # 32 : cost 0 15.091 * * [simplify]: iteration 0 : 384 enodes (cost 3225 ) 15.232 * * [simplify]: Extracting # 0 : cost 0 15.235 * * [simplify]: Extracting # 1 : cost 0 15.239 * * [simplify]: Extracting # 2 : cost 0 15.242 * * [simplify]: Extracting # 3 : cost 0 15.246 * * [simplify]: Extracting # 4 : cost 0 15.249 * * [simplify]: Extracting # 5 : cost 0 15.252 * * [simplify]: Extracting # 6 : cost 0 15.254 * * [simplify]: iteration 1 : 1143 enodes (cost 2900 ) 15.887 * * [simplify]: Extracting # 0 : cost 0 15.894 * * [simplify]: Extracting # 1 : cost 0 15.903 * * [simplify]: Extracting # 2 : cost 0 15.916 * * [simplify]: Extracting # 3 : cost 0 15.930 * * [simplify]: Extracting # 4 : cost 0 15.942 * * [simplify]: Extracting # 5 : cost 0 15.950 * * [simplify]: Extracting # 6 : cost 0 15.957 * * [simplify]: Extracting # 7 : cost 0 15.964 * * [simplify]: iteration 2 : 4674 enodes (cost 2698 ) 17.443 * * [simplify]: Extracting # 0 : cost 0 17.451 * * [simplify]: Extracting # 1 : cost 0 17.460 * * [simplify]: Extracting # 2 : cost 0 17.474 * * [simplify]: Extracting # 3 : cost 0 17.488 * * [simplify]: iteration done: 5000 enodes (cost 2694 ) 17.491 * [simplify]: Simplified to: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3)) (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3)) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (fma (- +nan.0) k (fma +nan.0 (pow k 2) (- +nan.0))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (fma (* +nan.0 (* (pow k 2) (pow (log PI) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma (- (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (+ (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (fma (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0 (fma +nan.0 (- (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))))))) (fma +nan.0 (- (/ (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) (pow k 2))) (* +nan.0 (- (/ (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) k) (/ (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) (pow k 3))))) (fma (- +nan.0) (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) (* +nan.0 (- (/ (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) k) (/ (exp (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI))))) (pow k 2))))) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (exp -0.5) (* (- 1.0 k) (- (log n)))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 17.494 * * * [progress]: adding candidates to table 18.479 * [progress]: [Phase 3 of 3] Extracting. 18.479 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 18.482 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 18.482 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 18.531 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 18.565 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 18.618 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 18.701 * * * [regime]: Found split indices: #